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Find just one digit (Posted on 2005-11-10) Difficulty: 2 of 5
If ABC+DEF+GHI=JJJ, each letter stands for a different digit, and no number starts with zero, what is J?

See The Solution Submitted by Federico Kereki    
Rating: 4.0000 (6 votes)

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solution | Comment 3 of 13 |

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.


  Posted by xdog on 2005-11-10 09:15:33
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