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Pandigital pattern (Posted on 2016-06-28) Difficulty: 3 of 5
Find all pandigital sums of the form
abc+def=ghi
(with no zero) in ascending order of ghi and find a pattern in these sums.

No Solution Yet Submitted by Jer    
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Mod 9 Comment 2 of 2 |
Pattern aside, all pandigital sums must be evenly divisible by 9.

This is because x + y + z = 0 mod 9 if all digits 1-9 are represented in x, y and z exactly once.

But if x + y = z mod 9,
then x + y - z = 0 mod 9,

so 2z = 0 mod 9,

so z = 0 mod 9.

Edited on June 28, 2016, 8:11 pm
  Posted by Steve Herman on 2016-06-28 10:29:32

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