Two six sided dice are marked with 12 different integers, so that any number from 1 to 36 can be derived when both dice are thrown and the showing face-up values are added.
What is the lowest possible value of the highest number on one of the dice faces?

(In reply to solution by Charlie)

This seems to be the best solution (if duplicates were allowed) -- simply pick the easy solution and add from one while subtracting from the other. Clearly 18/18 has to be the best solution, as any other solution has to use a number at least 18.

What is the integers had to be positive?

Edited on October 30, 2011, 4:01 pm

Posted by Gamer on 2011-10-30 15:45:31