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Place all of the digits 0-9 into the blanks to make the sum correct. Minimize numbers with lower digits first.
Note : No number should have any leading zero.
(In reply to
re: Solution by Salil)
There are 60 ways in which one might arrange the digits 0 to 9 to fill the gaps and have a true total. Of those 60 there are 24 which have a total of 1026.
Below are all 60 possibilities (apologies for the format):
2
46
987
1035
2
47
986
1035
2
64
987
1053
2
67
984
1053
2
84
967
1053
2
86
947
1035
2
87
946
1035
2
87
964
1053
3
45
978
1026
3
48
975
1026
3
74
985
1062
3
75
948
1026
3
75
984
1062
3
78
945
1026
3
84
975
1062
3
85
974
1062
4
35
987
1026
4
37
985
1026
4
62
987
1053
4
67
982
1053
4
73
985
1062
4
75
983
1062
4
82
967
1053
4
83
975
1062
4
85
937
1026
4
85
973
1062
4
87
935
1026
4
87
962
1053
5
34
987
1026
5
37
984
1026
5
43
978
1026
5
48
973
1026
5
73
948
1026
5
73
984
1062
5
74
983
1062
5
78
943
1026
5
83
974
1062
5
84
937
1026
5
84
973
1062
5
87
934
1026
6
42
987
1035
6
47
982
1035
6
82
947
1035
6
87
942
1035
7
34
985
1026
7
35
984
1026
7
42
986
1035
7
46
982
1035
7
62
984
1053
7
64
982
1053
7
82
946
1035
7
82
964
1053
7
84
935
1026
7
84
962
1053
7
85
934
1026
7
86
942
1035
8
43
975
1026
8
45
973
1026
8
73
945
1026
8
75
943
1026
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Posted by brianjn
on 2013-10-31 20:41:12 |
re(2): Solution
