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)

Charlie, I stand in awe.

 

Edited on October 31, 2011, 2:42 am

Posted by broll on 2011-10-31 02:30:35