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: solution (natural extension question) by Gamer)

There is no solution if all the integers had to be positive and all faces were marked with integers as there would be no way to get the sum of 1 with two dice -- even with duplicates permitted.

Posted by Dej Mar on 2011-10-31 03:22:47