Suppose you have 27 weights weighing: 1², 2², 3², 4², ........, 25², 26² and 27² grams respectively.

(a)How can you group them into three groups so that each group has the same weight ?

(b) Is it possible to divide it into more than three groups satisfying the same conditions ?

a) I used 1²,5²,9²,12²13²,17²,20²,24²,25² in one pile, 2²,6²,10²,14²,18²,21²,22²,26² in the next pile, and 3², 4², 8², 11², 15², 16², 19², 23², 27² in the last pile.

All of these equal 2310

Posted by Gamer on 2003-05-31 07:05:31