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 re: Possible solution by Dej Mar)

Many thanks for the timely correction!

It seems this problem was even better than I thought!

Posted by broll on 2011-10-30 23:31:21