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.
$\frac{\left(\mathit{A}-2\right)+\left(\mathit{S}-2\right)}{2}=27$
$\mathit{A}+\mathit{S}=58$...(1)
Also $\frac{\mathit{A}-2}{5}=\frac{\mathit{S}-2}{4}$
$4\mathit{A}-8=5\mathit{S}-10$
$5\mathit{S}-4\mathit{A}=2$...(2)
From equation (1) and (2) we can say that $\mathit{S}=26,\mathit{A}=32$
Average age of Amita, Sumita and Paramita before 2 years = 24.
$\frac{\left(\mathit{A}-2\right)+\left(\mathit{S}-2\right)+\left(\mathit{P}-2\right)}{3}=24$
$\mathit{A}+\mathit{S}+\mathit{P}=78$
Hence,$\mathit{P}=20$Therefore, the average age of Sumita and Paramita 3 years from now? Hence, option B is the correct answer.