Question

A piece of wood is cut in the ratio 2:3. what fraction of the length is the longer piece ?

Answer 1

if the wood is cut in ratio 2:3, then the total length must be 2+3=5
thus, ratio of the longer side is 3/5

Answer 2

let the two parts be 2x and 3x
sum of parts=2+3
=5
Therefore,2x/5 and 3x/5
3 > 2 .
hence, 3 is longer