Each of the letters in bold represents a base ten digit from 0 to 9 to satisfy these alphametic relationships. None of the numbers can contain any leading zero.
USA is a multiple of UK, and:
SA is a multiple of K
Determine the respective minimum and maximum values that
USA can assume.
(In reply to
re(2): computer solution - one lower by Charlie)
In fact if leading zeros were allowed (either U or S) then many more solutions would be applicable:
12 3 12
12 4 12
12 6 12
14 2 14
14 7 14
15 3 15
16 2 16
16 4 16
16 8 16
18 2 18
18 3 18
18 6 18
18 9 18
21 3 21
21 7 21
23 1 23
24 1 24
24 3 24
24 6 24
24 8 24
25 1 25
26 1 26
27 1 27
27 3 27
27 9 27
28 1 28
28 4 28
28 7 28
29 1 29
32 1 32
32 4 32
32 8 32
34 1 34
34 2 34
35 1 35
35 7 35
36 1 36
36 2 36
36 4 36
36 9 36
37 1 37
38 1 38
38 2 38
39 1 39
42 1 42
42 3 42
42 6 42
42 7 42
43 1 43
45 1 45
45 3 45
45 9 45
46 1 46
46 2 46
47 1 47
48 1 48
48 2 48
48 3 48
48 6 48
49 1 49
49 7 49
51 3 51
52 1 52
52 4 52
53 1 53
54 1 54
54 2 54
54 3 54
54 6 54
54 9 54
56 1 56
56 2 56
56 4 56
56 7 56
56 8 56
57 1 57
57 3 57
58 1 58
58 2 58
59 1 59
62 1 62
63 1 63
63 7 63
63 9 63
64 1 64
64 2 64
64 8 64
65 1 65
67 1 67
68 1 68
68 2 68
68 4 68
69 1 69
69 3 69
72 1 72
72 3 72
72 4 72
72 6 72
72 8 72
72 9 72
73 1 73
74 1 74
74 2 74
75 1 75
75 3 75
76 1 76
76 2 76
76 4 76
78 1 78
78 2 78
78 3 78
78 6 78
79 1 79
81 3 81
81 9 81
82 1 82
83 1 83
84 1 84
84 2 84
84 3 84
84 6 84
84 7 84
85 1 85
86 1 86
86 2 86
87 1 87
87 3 87
89 1 89
91 7 91
92 1 92
92 4 92
93 1 93
94 1 94
94 2 94
95 1 95
96 1 96
96 2 96
96 3 96
96 4 96
96 8 96
97 1 97
98 1 98
98 2 98
98 7 98
104 12 4
106 12 6
106 13 6
108 12 8
108 14 8
109 13 9
203 21 3
204 21 4
205 21 5
206 21 6
206 23 6
207 21 7
208 21 8
208 24 8
209 21 9
209 23 9
302 31 2
304 31 4
304 32 4
305 31 5
306 31 6
306 32 6
307 31 7
308 31 8
308 32 8
308 34 8
309 31 9
402 41 2
403 41 3
405 41 5
406 41 6
406 42 6
406 43 6
407 41 7
408 41 8
408 42 8
409 41 9
409 43 9
502 51 2
503 51 3
504 51 4
504 52 4
506 51 6
506 52 6
506 53 6
507 51 7
508 51 8
508 52 8
508 54 8
509 51 9
509 53 9
602 61 2
603 61 3
604 61 4
604 62 4
605 61 5
607 61 7
608 61 8
608 62 8
608 64 8
609 61 9
609 63 9
702 71 2
703 71 3
704 71 4
704 72 4
705 71 5
706 71 6
706 72 6
706 73 6
708 71 8
708 72 8
708 74 8
709 71 9
709 73 9
802 81 2
803 81 3
804 81 4
804 82 4
805 81 5
806 81 6
806 82 6
806 83 6
807 81 7
809 81 9
809 83 9
902 91 2
903 91 3
904 91 4
904 92 4
905 91 5
906 91 6
906 92 6
906 93 6
907 91 7
908 91 8
908 92 8
908 94 8
with the smallest USA at 012 and the largest at 908.
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Posted by Charlie
on 2013-01-21 21:03:37 |
re(3): computer solution - one lower
