Indian Institute of Foreign Trade 2011 Solved Paper

Let 'A', 'S' and 'P' be Amita's, Sumita's and Paramita's present age.
It is given that 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average oftheir age was 27 years.

(A−2)+(S−2)

2

=27
A+S=58...(1)
Also

A−2

5

=

S−2

4

4A−8=5S−10
5S−4A=2...(2)
From equation (1) and (2) we can say that S=26,A=32
Average age of Amita, Sumita and Paramita before 2 years = 24.

(A−2)+(S−2)+(P−2)

3

=24
A+S+P=78
Hence,P=20Therefore, the average age of Sumita and Paramita 3 years from now? Hence, option B is the correct answer.