44 monkeys have a total of 1407 bananas. No two monkeys have the same number of bananas. Show that there is a monkey that has exactly twice as many bananas as another one.

(In reply to Solution, sort of... by tomarken)

Suppose in your sequence, instead of having 3 and 5, you had 2 and 6, which you don't have, then one with 4 doubles 2; also I note that one with 12 doubles 6.

One could find other situations to do something similar, but I doubt that JLo has this in mind.

Posted by brianjn on 2006-11-13 19:50:10