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 ?
(In reply to very easy
by brandy durbin)
The weights were the squares of the integers from 1 to 27, not those integers directly. While your non-squared groups each add up to 126, when the integers are squared the squares within groups add up to 3136, 2299 and 1414 respectively.
Posted by Charlie
on 2003-05-31 15:49:05