If ABC+DEF+GHI=JJJ, each letter stands for a different digit, and no number starts with zero, what is J?
JJJ is divisible by 3, so the left side of the equation is divisible by 3.
Since sum(1,9) is divisible by 3, J must be divisible by 3.
The sum is at least 15x + 26y + 37z > 600 so J=9.
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Posted by xdog
on 2005-11-10 09:15:33 |