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)

....so why not make the highest on each die 18?

Because then you will not comply with the request for 12 distinct numbers.

Posted by Ady TZIDON on 2011-10-31 08:10:04