Posted Aug. 22, 2016.
Using Maple packages GILAD.txt and GILADfast.txt and written by Doron Zeilberger .
This is Chapter IV of the webbook Computer-Generated Alphametic. It consists of 200 3-digit by 3-digit Multiplication Puzzles.
In these puzzles, each long multiplication uses exactly nine digits, i.e. exactly one is missing. One of the digits was replaced by X, and the remaining ones by a Blank. You have to reconstruct the long multiplication and figure out the missing digit.
[Solutions are the bottom of this page]
Problem Number 1
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Problem Number 2
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Problem Number 3
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Problem Number 4
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Problem Number 5
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Problem Number 6
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Problem Number 7
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Problem Number 8
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Problem Number 9
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Problem Number 10
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Problem Number 11
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Problem Number 12
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Problem Number 13
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Problem Number 14
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Problem Number 15
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Problem Number 16
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Problem Number 17
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Problem Number 18
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Problem Number 19
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Problem Number 20
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Problem Number 21
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Problem Number 22
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Problem Number 23
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Problem Number 24
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Problem Number 25
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Problem Number 26
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Problem Number 27
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Problem Number 28
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Problem Number 29
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Problem Number 30
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Problem Number 31
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Problem Number 32
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Problem Number 33
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Problem Number 34
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Problem Number 35
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Problem Number 36
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Problem Number 37
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Problem Number 38
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Problem Number 39
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Problem Number 40
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Problem Number 42
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Problem Number 43
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Problem Number 50
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Problem Number 54
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Problem Number 62
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Problem Number 64
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Problem Number 66
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Problem Number 67
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Problem Number 68
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Problem Number 69
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Problem Number 70
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Problem Number 71
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Problem Number 72
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Problem Number 73
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Problem Number 74
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Problem Number 75
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Problem Number 77
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Problem Number 78
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Problem Number 79
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Problem Number 80
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Problem Number 81
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Problem Number 82
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Problem Number 83
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Problem Number 84
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Problem Number 85
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Problem Number 86
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Problem Number 87
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Problem Number 88
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Problem Number 89
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Problem Number 90
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Problem Number 91
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Problem Number 92
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_ _ X _
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_ X _ _ X _
Problem Number 173
X _ _
X _ _
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X _ _
_ _ _ _
_ _ X _
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_ X _ X _ _
Problem Number 174
X _ _
X _ _
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_ _ _ X
_ _ _ X
_ _ _
______________
_ X _ _ X
Problem Number 175
X _ _
X _ _
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_ _ _ X
_ _ _ X
_ _ _ _
______________
_ _ X _ X X
Problem Number 176
X _ _
X _ _
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_ X _ _
_ X _ _
_ _ _
______________
_ _ X _ _
Problem Number 177
X _ _
X _ _
________
X _ _ _
_ _ _ _
_ _ X
______________
_ _ _ X _
Problem Number 178
X _ _
X _ X
________
_ _ _ _
_ _ _ X
_ _ _ _
______________
_ X _ _ X _
Problem Number 179
X _ X
_ _ _
________
X _ X
_ _ _ X
X _ X
______________
_ _ _ _ _ X
Problem Number 180
X _ X
_ _ _
________
_ _ _ _
_ X _
_ _ X _
______________
_ _ _ _ _ _
Problem Number 181
X _ X
_ _ _
________
_ _ _ _
_ _ _ _
_ _ X X
______________
_ _ _ X X _
Problem Number 182
X _ X
_ _ _
________
_ _ _ _
X X _ _
_ _ _ _
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_ _ _ _ X _
Problem Number 183
X _ X
_ _ _
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_ _ X _
_ _ _
_ X _ X
______________
_ _ _ _ _ _
Problem Number 184
X _ X
_ _ _
________
_ _ X _
_ _ _ _
_ _ _ _
______________
_ X X X _ _
Problem Number 185
X _ X
_ _ _
________
_ X _ _
X _ X
_ _ X _
______________
_ _ _ X _ _
Problem Number 186
X _ X
_ _ _
________
X _ _ _
_ _ X X
_ X _
______________
_ _ _ _ _ _
Problem Number 187
X _ X
_ _ X
________
_ _ _
_ _ _ _
_ _ _ X
______________
_ _ _ _ X _
Problem Number 188
X _ X
_ _ X
________
_ _ _ X
_ _ X _
_ _ X _
______________
_ X _ _ _ X
Problem Number 189
X _ X
_ _ X
________
_ _ _ X
_ X _ _
_ _ _ _
______________
X _ _ _ _ X
Problem Number 190
X _ X
_ X _
________
_ _ _ X
_ _ _ X
_ _ _ X
______________
_ _ X _ X X
Problem Number 191
X _ X
_ X _
________
_ _ _ X
_ X _ X
_ _ _ X
______________
_ _ _ _ X X
Problem Number 192
X _ X
_ X _
________
_ X _ _
_ _ _ _
_ _ _ _
______________
X _ _ _ X _
Problem Number 193
X X _
_ _ _
________
_ _ _
X _ X _
_ _ _ _
______________
X _ _ _ X _
Problem Number 194
X X _
_ _ _
________
_ _ _ X
_ _ _
_ _ _ _
______________
_ _ X _ _ X
Problem Number 195
X X _
_ _ _
________
_ X _ _
_ _ _
_ _ _
______________
_ _ _ X _
Problem Number 196
X X _
_ _ _
________
_ X _ _
_ _ _
_ _ _ _
______________
_ _ _ X X _
Problem Number 197
X X _
_ _ _
________
X _ _ X
_ X _
_ _ _
______________
_ X _ X X
Problem Number 198
X X _
_ X _
________
_ _ _ X
_ _ _ _
X _ _ _
______________
X _ _ X _ X
Problem Number 199
X X _
_ X X
________
X X _
X X _
X _ _ _
______________
X _ _ _ _ _
Problem Number 200
X X _
X X _
________
_ _ _ _
_ _ X _
_ _ X _
______________
_ X _ _ _ _
SOLUTIONS
Solution to Problem Number 1
192
521
________
192
384
960
________
100032
X = 0
Missing digit : 7
Solution to Problem Number 2
198
724
________
792
396
1386
________
143352
X = 3
Missing digit : 0
Solution to Problem Number 3
307
361
________
307
1842
921
________
110827
X = 2
Missing digit : 5
Solution to Problem Number 4
164
652
________
328
820
984
________
106928
X = 8
Missing digit : 7
Solution to Problem Number 5
127
794
________
508
1143
889
________
100838
X = 0
Missing digit : 6
Solution to Problem Number 6
203
474
________
812
1421
812
________
96222
X = 1
Missing digit : 5
Solution to Problem Number 7
432
492
________
864
3888
1728
________
212544
X = 8
Missing digit : 0
Solution to Problem Number 8
296
353
________
888
1480
888
________
104488
X = 8
Missing digit : 7
Solution to Problem Number 9
159
418
________
1272
159
636
________
66462
X = 6
Missing digit : 0
Solution to Problem Number 10
243
267
________
1701
1458
486
________
64881
X = 8
Missing digit : 9
Solution to Problem Number 11
498
447
________
3486
1992
1992
________
222606
X = 2
Missing digit : 5
Solution to Problem Number 12
748
427
________
5236
1496
2992
________
319396
X = 9
Missing digit : 0
Solution to Problem Number 13
374
335
________
1870
1122
1122
________
125290
X = 2
Missing digit : 6
Solution to Problem Number 14
752
833
________
2256
2256
6016
________
626416
X = 6
Missing digit : 9
Solution to Problem Number 15
426
293
________
1278
3834
852
________
124818
X = 8
Missing digit : 0
Solution to Problem Number 16
678
449
________
6102
2712
2712
________
304422
X = 2
Missing digit : 5
Solution to Problem Number 17
296
335
________
1480
888
888
________
99160
X = 8
Missing digit : 7
Solution to Problem Number 18
293
295
________
1465
2637
586
________
86435
X = 6
Missing digit : 0
Solution to Problem Number 19
767
578
________
6136
5369
3835
________
443326
X = 3
Missing digit : 0
Solution to Problem Number 20
359
823
________
1077
718
2872
________
295457
X = 7
Missing digit : 6
Solution to Problem Number 21
314
256
________
1884
1570
628
________
80384
X = 8
Missing digit : 9
Solution to Problem Number 22
653
348
________
5224
2612
1959
________
227244
X = 2
Missing digit : 0
Solution to Problem Number 23
644
789
________
5796
5152
4508
________
508116
X = 5
Missing digit : 3
Solution to Problem Number 24
583
368
________
4664
3498
1749
________
214544
X = 4
Missing digit : 0
Solution to Problem Number 25
303
796
________
1818
2727
2121
________
241188
X = 1
Missing digit : 5
Solution to Problem Number 26
747
763
________
2241
4482
5229
________
569961
X = 2
Missing digit : 0
Solution to Problem Number 27
740
843
________
2220
2960
5920
________
623820
X = 2
Missing digit : 1
Solution to Problem Number 28
315
712
________
630
315
2205
________
224280
X = 2
Missing digit : 9
Solution to Problem Number 29
157
264
________
628
942
314
________
41448
X = 4
Missing digit : 0
Solution to Problem Number 30
122
148
________
976
488
122
________
18056
X = 8
Missing digit : 3
Solution to Problem Number 31
244
423
________
732
488
976
________
103212
X = 3
Missing digit : 5
Solution to Problem Number 32
128
476
________
768
896
512
________
60928
X = 6
Missing digit : 3
Solution to Problem Number 33
162
624
________
648
324
972
________
101088
X = 4
Missing digit : 5
Solution to Problem Number 34
117
945
________
585
468
1053
________
110565
X = 5
Missing digit : 2
Solution to Problem Number 35
657
142
________
1314
2628
657
________
93294
X = 2
Missing digit : 0
Solution to Problem Number 36
154
257
________
1078
770
308
________
39578
X = 7
Missing digit : 6
Solution to Problem Number 37
760
594
________
3040
6840
3800
________
451440
X = 4
Missing digit : 2
Solution to Problem Number 38
248
637
________
1736
744
1488
________
157976
X = 7
Missing digit : 0
Solution to Problem Number 39
362
924
________
1448
724
3258
________
334488
X = 4
Missing digit : 0
Solution to Problem Number 40
314
321
________
314
628
942
________
100794
X = 2
Missing digit : 5
Solution to Problem Number 41
649
321
________
649
1298
1947
________
208329
X = 2
Missing digit : 5
Solution to Problem Number 42
135
947
________
945
540
1215
________
127845
X = 4
Missing digit : 6
Solution to Problem Number 43
172
584
________
688
1376
860
________
100448
X = 8
Missing digit : 9
Solution to Problem Number 44
133
265
________
665
798
266
________
35245
X = 6
Missing digit : 0
Solution to Problem Number 45
294
383
________
882
2352
882
________
112602
X = 8
Missing digit : 7
Solution to Problem Number 46
377
256
________
2262
1885
754
________
96512
X = 5
Missing digit : 0
Solution to Problem Number 47
856
729
________
7704
1712
5992
________
624024
X = 2
Missing digit : 3
Solution to Problem Number 48
822
876
________
4932
5754
6576
________
720072
X = 7
Missing digit : 1
Solution to Problem Number 49
357
316
________
2142
357
1071
________
112812
X = 1
Missing digit : 9
Solution to Problem Number 50
926
548
________
7408
3704
4630
________
507448
X = 4
Missing digit : 1
Solution to Problem Number 51
976
586
________
5856
7808
4880
________
571936
X = 8
Missing digit : 2
Solution to Problem Number 52
976
385
________
4880
7808
2928
________
375760
X = 8
Missing digit : 1
Solution to Problem Number 53
717
357
________
5019
3585
2151
________
255969
X = 5
Missing digit : 4
Solution to Problem Number 54
536
649
________
4824
2144
3216
________
347864
X = 4
Missing digit : 0
Solution to Problem Number 55
607
724
________
2428
1214
4249
________
439468
X = 2
Missing digit : 5
Solution to Problem Number 56
417
238
________
3336
1251
834
________
99246
X = 3
Missing digit : 0
Solution to Problem Number 57
168
293
________
504
1512
336
________
49224
X = 2
Missing digit : 7
Solution to Problem Number 58
156
271
________
156
1092
312
________
42276
X = 2
Missing digit : 8
Solution to Problem Number 59
149
594
________
596
1341
745
________
88506
X = 5
Missing digit : 2
Solution to Problem Number 60
118
329
________
1062
236
354
________
38822
X = 3
Missing digit : 7
Solution to Problem Number 61
368
486
________
2208
2944
1472
________
178848
X = 4
Missing digit : 5
Solution to Problem Number 62
936
497
________
6552
8424
3744
________
465192
X = 4
Missing digit : 0
Solution to Problem Number 63
216
835
________
1080
648
1728
________
180360
X = 8
Missing digit : 9
Solution to Problem Number 64
578
298
________
4624
5202
1156
________
172244
X = 2
Missing digit : 3
Solution to Problem Number 65
616
835
________
3080
1848
4928
________
514360
X = 8
Missing digit : 7
Solution to Problem Number 66
812
349
________
7308
3248
2436
________
283388
X = 3
Missing digit : 5
Solution to Problem Number 67
963
786
________
5778
7704
6741
________
756918
X = 7
Missing digit : 2
Solution to Problem Number 68
648
549
________
5832
2592
3240
________
355752
X = 5
Missing digit : 1
Solution to Problem Number 69
978
697
________
6846
8802
5868
________
681666
X = 6
Missing digit : 3
Solution to Problem Number 70
931
565
________
4655
5586
4655
________
526015
X = 5
Missing digit : 7
Solution to Problem Number 71
940
664
________
3760
5640
5640
________
624160
X = 6
Missing digit : 8
Solution to Problem Number 72
697
441
________
697
2788
2788
________
307377
X = 7
Missing digit : 5
Solution to Problem Number 73
935
361
________
935
5610
2805
________
337535
X = 5
Missing digit : 4
Solution to Problem Number 74
185
893
________
555
1665
1480
________
165205
X = 5
Missing digit : 7
Solution to Problem Number 75
329
328
________
2632
658
987
________
107912
X = 9
Missing digit : 4
Solution to Problem Number 76
918
965
________
4590
5508
8262
________
885870
X = 8
Missing digit : 3
Solution to Problem Number 77
331
378
________
2648
2317
993
________
125118
X = 1
Missing digit : 0
Solution to Problem Number 78
135
779
________
1215
945
945
________
105165
X = 5
Missing digit : 8
Solution to Problem Number 79
298
627
________
2086
596
1788
________
186846
X = 8
Missing digit : 3
Solution to Problem Number 80
175
826
________
1050
350
1400
________
144550
X = 5
Missing digit : 9
Solution to Problem Number 81
665
867
________
4655
3990
5320
________
576555
X = 5
Missing digit : 1
Solution to Problem Number 82
785
743
________
2355
3140
5495
________
583255
X = 5
Missing digit : 6
Solution to Problem Number 83
950
148
________
7600
3800
950
________
140600
X = 0
Missing digit : 2
Solution to Problem Number 84
815
678
________
6520
5705
4890
________
552570
X = 5
Missing digit : 3
Solution to Problem Number 85
492
675
________
2460
3444
2952
________
332100
X = 2
Missing digit : 8
Solution to Problem Number 86
682
493
________
2046
6138
2728
________
336226
X = 2
Missing digit : 5
Solution to Problem Number 87
745
678
________
5960
5215
4470
________
505110
X = 5
Missing digit : 3
Solution to Problem Number 88
159
659
________
1431
795
954
________
104781
X = 9
Missing digit : 2
Solution to Problem Number 89
584
764
________
2336
3504
4088
________
446176
X = 4
Missing digit : 9
Solution to Problem Number 90
326
326
________
1956
652
978
________
106276
X = 6
Missing digit : 4
Solution to Problem Number 91
948
638
________
7584
2844
5688
________
604824
X = 8
Missing digit : 1
Solution to Problem Number 92
612
952
________
1224
3060
5508
________
582624
X = 2
Missing digit : 7
Solution to Problem Number 93
297
672
________
594
2079
1782
________
199584
X = 7
Missing digit : 3
Solution to Problem Number 94
956
169
________
8604
5736
956
________
161564
X = 6
Missing digit : 2
Solution to Problem Number 95
498
821
________
498
996
3984
________
408858
X = 8
Missing digit : 7
Solution to Problem Number 96
936
613
________
2808
936
5616
________
573768
X = 6
Missing digit : 4
Solution to Problem Number 97
872
256
________
5232
4360
1744
________
223232
X = 2
Missing digit : 9
Solution to Problem Number 98
492
285
________
2460
3936
984
________
140220
X = 2
Missing digit : 7
Solution to Problem Number 99
412
297
________
2884
3708
824
________
122364
X = 2
Missing digit : 5
Solution to Problem Number 100
463
368
________
3704
2778
1389
________
170384
X = 3
Missing digit : 5
Solution to Problem Number 101
137
767
________
959
822
959
________
105079
X = 7
Missing digit : 4
Solution to Problem Number 102
492
225
________
2460
984
984
________
110700
X = 2
Missing digit : 3
Solution to Problem Number 103
147
373
________
441
1029
441
________
54831
X = 4
Missing digit : 6
Solution to Problem Number 104
246
827
________
1722
492
1968
________
203442
X = 4
Missing digit : 5
Solution to Problem Number 105
379
625
________
1895
758
2274
________
236875
X = 7
Missing digit : 0
Solution to Problem Number 106
286
346
________
1716
1144
858
________
98956
X = 8
Missing digit : 0
Solution to Problem Number 107
741
628
________
5928
1482
4446
________
465348
X = 4
Missing digit : 0
Solution to Problem Number 108
984
175
________
4920
6888
984
________
172200
X = 8
Missing digit : 3
Solution to Problem Number 109
326
786
________
1956
2608
2282
________
256236
X = 2
Missing digit : 4
Solution to Problem Number 110
205
496
________
1230
1845
820
________
101680
X = 0
Missing digit : 7
Solution to Problem Number 111
405
494
________
1620
3645
1620
________
200070
X = 0
Missing digit : 8
Solution to Problem Number 112
504
426
________
3024
1008
2016
________
214704
X = 0
Missing digit : 9
Solution to Problem Number 113
879
982
________
1758
7032
7911
________
863178
X = 7
Missing digit : 4
Solution to Problem Number 114
657
987
________
4599
5256
5913
________
648459
X = 5
Missing digit : 0
Solution to Problem Number 115
425
536
________
2550
1275
2125
________
227800
X = 2
Missing digit : 9
Solution to Problem Number 116
648
377
________
4536
4536
1944
________
244296
X = 4
Missing digit : 0
Solution to Problem Number 117
319
336
________
1914
957
957
________
107184
X = 1
Missing digit : 2
Solution to Problem Number 118
248
534
________
992
744
1240
________
132432
X = 4
Missing digit : 6
Solution to Problem Number 119
126
972
________
252
882
1134
________
122472
X = 2
Missing digit : 0
Solution to Problem Number 120
372
287
________
2604
2976
744
________
106764
X = 7
Missing digit : 5
Solution to Problem Number 121
867
746
________
5202
3468
6069
________
646782
X = 6
Missing digit : 1
Solution to Problem Number 122
275
973
________
825
1925
2475
________
267575
X = 7
Missing digit : 0
Solution to Problem Number 123
284
281
________
284
2272
568
________
79804
X = 8
Missing digit : 3
Solution to Problem Number 124
760
964
________
3040
4560
6840
________
732640
X = 6
Missing digit : 1
Solution to Problem Number 125
723
723
________
2169
1446
5061
________
522729
X = 2
Missing digit : 8
Solution to Problem Number 126
626
624
________
2504
1252
3756
________
390624
X = 2
Missing digit : 8
Solution to Problem Number 127
281
832
________
562
843
2248
________
233792
X = 8
Missing digit : 0
Solution to Problem Number 128
263
628
________
2104
526
1578
________
165164
X = 6
Missing digit : 9
Solution to Problem Number 129
650
593
________
1950
5850
3250
________
385450
X = 5
Missing digit : 7
Solution to Problem Number 130
867
653
________
2601
4335
5202
________
566151
X = 6
Missing digit : 9
Solution to Problem Number 131
187
828
________
1496
374
1496
________
154836
X = 8
Missing digit : 0
Solution to Problem Number 132
322
373
________
966
2254
966
________
120106
X = 2
Missing digit : 8
Solution to Problem Number 133
233
764
________
932
1398
1631
________
178012
X = 3
Missing digit : 5
Solution to Problem Number 134
833
421
________
833
1666
3332
________
350693
X = 3
Missing digit : 7
Solution to Problem Number 135
866
413
________
2598
866
3464
________
357658
X = 6
Missing digit : 0
Solution to Problem Number 136
233
489
________
2097
1864
932
________
113937
X = 3
Missing digit : 5
Solution to Problem Number 137
944
598
________
7552
8496
4720
________
564512
X = 4
Missing digit : 3
Solution to Problem Number 138
533
567
________
3731
3198
2665
________
302211
X = 3
Missing digit : 4
Solution to Problem Number 139
322
672
________
644
2254
1932
________
216384
X = 2
Missing digit : 0
Solution to Problem Number 140
533
753
________
1599
2665
3731
________
401349
X = 3
Missing digit : 8
Solution to Problem Number 141
356
692
________
712
3204
2136
________
246352
X = 3
Missing digit : 8
Solution to Problem Number 142
418
871
________
418
2926
3344
________
364078
X = 4
Missing digit : 5
Solution to Problem Number 143
409
361
________
409
2454
1227
________
147649
X = 4
Missing digit : 8
Solution to Problem Number 144
488
151
________
488
2440
488
________
73688
X = 4
Missing digit : 9
Solution to Problem Number 145
397
691
________
397
3573
2382
________
274327
X = 3
Missing digit : 0
Solution to Problem Number 146
674
912
________
1348
674
6066
________
614688
X = 6
Missing digit : 5
Solution to Problem Number 147
233
398
________
1864
2097
699
________
92734
X = 2
Missing digit : 5
Solution to Problem Number 148
283
785
________
1415
2264
1981
________
222155
X = 2
Missing digit : 0
Solution to Problem Number 149
247
698
________
1976
2223
1482
________
172406
X = 2
Missing digit : 5
Solution to Problem Number 150
219
138
________
1752
657
219
________
30222
X = 2
Missing digit : 4
Solution to Problem Number 151
244
518
________
1952
244
1220
________
126392
X = 2
Missing digit : 7
Solution to Problem Number 152
389
267
________
2723
2334
778
________
103863
X = 3
Missing digit : 5
Solution to Problem Number 153
236
897
________
1652
2124
1888
________
211692
X = 2
Missing digit : 0
Solution to Problem Number 154
894
293
________
2682
8046
1788
________
261942
X = 8
Missing digit : 5
Solution to Problem Number 155
488
553
________
1464
2440
2440
________
269864
X = 4
Missing digit : 7
Solution to Problem Number 156
283
948
________
2264
1132
2547
________
268284
X = 2
Missing digit : 0
Solution to Problem Number 157
253
459
________
2277
1265
1012
________
116127
X = 2
Missing digit : 8
Solution to Problem Number 158
492
579
________
4428
3444
2460
________
284868
X = 4
Missing digit : 1
Solution to Problem Number 159
281
798
________
2248
2529
1967
________
224238
X = 2
Missing digit : 0
Solution to Problem Number 160
244
532
________
488
732
1220
________
129808
X = 2
Missing digit : 6
Solution to Problem Number 161
258
692
________
516
2322
1548
________
178536
X = 2
Missing digit : 0
Solution to Problem Number 162
163
971
________
163
1141
1467
________
158273
X = 1
Missing digit : 0
Solution to Problem Number 163
623
916
________
3738
623
5607
________
570668
X = 6
Missing digit : 4
Solution to Problem Number 164
456
914
________
1824
456
4104
________
416784
X = 4
Missing digit : 3
Solution to Problem Number 165
871
928
________
6968
1742
7839
________
808288
X = 8
Missing digit : 5
Solution to Problem Number 166
593
765
________
2965
3558
4151
________
453645
X = 5
Missing digit : 0
Solution to Problem Number 167
409
842
________
818
1636
3272
________
344378
X = 4
Missing digit : 5
Solution to Problem Number 168
204
823
________
612
408
1632
________
167892
X = 2
Missing digit : 5
Solution to Problem Number 169
821
485
________
4105
6568
3284
________
398185
X = 8
Missing digit : 7
Solution to Problem Number 170
281
324
________
1124
562
843
________
91044
X = 2
Missing digit : 7
Solution to Problem Number 171
280
829
________
2520
560
2240
________
232120
X = 2
Missing digit : 7
Solution to Problem Number 172
346
392
________
692
3114
1038
________
135632
X = 3
Missing digit : 7
Solution to Problem Number 173
754
761
________
754
4524
5278
________
573794
X = 7
Missing digit : 0
Solution to Problem Number 174
258
244
________
1032
1032
516
________
62952
X = 2
Missing digit : 7
Solution to Problem Number 175
653
622
________
1306
1306
3918
________
406166
X = 6
Missing digit : 7
Solution to Problem Number 176
248
255
________
1240
1240
496
________
63240
X = 2
Missing digit : 7
Solution to Problem Number 177
276
249
________
2484
1104
552
________
68724
X = 2
Missing digit : 3
Solution to Problem Number 178
369
373
________
1107
2583
1107
________
137637
X = 3
Missing digit : 4
Solution to Problem Number 179
838
161
________
838
5028
838
________
134918
X = 8
Missing digit : 7
Solution to Problem Number 180
232
748
________
1856
928
1624
________
173536
X = 2
Missing digit : 0
Solution to Problem Number 181
424
685
________
2120
3392
2544
________
290440
X = 4
Missing digit : 7
Solution to Problem Number 182
373
495
________
1865
3357
1492
________
184635
X = 3
Missing digit : 0
Solution to Problem Number 183
414
623
________
1242
828
2484
________
257922
X = 4
Missing digit : 0
Solution to Problem Number 184
747
238
________
5976
2241
1494
________
177786
X = 7
Missing digit : 0
Solution to Problem Number 185
747
819
________
6723
747
5976
________
611793
X = 7
Missing digit : 0
Solution to Problem Number 186
474
269
________
4266
2844
948
________
127506
X = 4
Missing digit : 3
Solution to Problem Number 187
272
642
________
544
1088
1632
________
174624
X = 2
Missing digit : 9
Solution to Problem Number 188
575
265
________
2875
3450
1150
________
152375
X = 5
Missing digit : 9
Solution to Problem Number 189
585
865
________
2925
3510
4680
________
506025
X = 5
Missing digit : 7
Solution to Problem Number 190
545
359
________
4905
2725
1635
________
195655
X = 5
Missing digit : 8
Solution to Problem Number 191
515
757
________
3605
2575
3605
________
389855
X = 5
Missing digit : 4
Solution to Problem Number 192
757
975
________
3785
5299
6813
________
738075
X = 7
Missing digit : 4
Solution to Problem Number 193
225
893
________
675
2025
1800
________
200925
X = 2
Missing digit : 4
Solution to Problem Number 194
227
846
________
1362
908
1816
________
192042
X = 2
Missing digit : 5
Solution to Problem Number 195
339
224
________
1356
678
678
________
75936
X = 3
Missing digit : 0
Solution to Problem Number 196
339
824
________
1356
678
2712
________
279336
X = 3
Missing digit : 0
Solution to Problem Number 197
119
769
________
1071
714
833
________
91511
X = 1
Missing digit : 2
Solution to Problem Number 198
667
968
________
5336
4002
6003
________
645656
X = 6
Missing digit : 1
Solution to Problem Number 199
114
911
________
114
114
1026
________
103854
X = 1
Missing digit : 7
Solution to Problem Number 200
885
883
________
2655
7080
7080
________
781455
X = 8
Missing digit : 9