If ABC+DEF+GHI=JJJ, each letter stands for a different digit, and no number starts with zero, what is J?
The digital root of the numbers 09 is 9.
If j is 1, the digital root on the right is 3, and on the left is 91=8, which don't match.
If j is 2, the digital root on the right is 6, and on the left is 92=7, which don't match.
If j is 3, the digital root on the right is 9, and on the left is 93=6, which don't match.
If j is 4, the digital root on the right is 3, and on the left is 94=5, which don't match.
If j is 5, the digital root on the right is 6, and on the left is 95=4, which don't match.
If j is 6, the digital root on the right is 9, and on the left is 96=3, which don't match.
If j is 7, the digital root on the right is 3, and on the left is 97=2, which don't match.
If j is 8, the digital root on the right is 6, and on the left is 98=1, which don't match.
If j is 9, the digital root on the right is 9, and on the left is 99=0 > 9, which matches.
So j is 9.

Posted by Charlie
on 20051110 09:37:55 