Question

A sum is divided among 3 people so that the first person gets one-third of it and the second gets one-third of the remainder.What fraction of the first boy,s is the third boy,s share?

Answer 1

Answer:

3/4 of first boys share

Step-by-step explanation:

let the number be = x

therefore, first boys share = x/3

remaining =x - x/3

= 2x/3

therefore, boys share = 1/3 of the remaining

= 1/3 × 2x/3

= 2x/9

now, second boys remaining is third boys share

therefore,

2x/3 - 2x/9

= 6x/9 - 2x/9

= 4x/9

therefore third boys share ÷ third boys share

x/3 ÷ 4x/9

=x/3 × 9/4x

= 3/4

therefore , third boys share is 3/4 of the first boys share (ans).