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)

(6,9,10,12,14,16)(-5,-4,7,8,19,20),  IS NOT A SOLUTION.

those dice fail to produce 3,11,15, 16,27 &28,   but offer two different combination fo  5,7,8,17,20 & 29.

 

   Hint:

Try another set of dice with 21 as the "goal number".

Posted by Ady TZIDON on 2011-10-31 08:28:23