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(4): Possible solution CONCERNS EVERYBODY by Dej Mar)

Dej Mar,

 

 The sets are ok.

I DO NOT HAVE A FORMAL PROOF OF 21 BEING THE LOWEST NUMBER WITHOUT REDUNDANCY.

Edited on October 31, 2011, 2:27 pm

Posted by Ady TZIDON on 2011-10-31 13:34:27