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1. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A. 24

B. 27

C. 40

D. Cannot be determined

Solution:

\begin{aligned} Let the present ages of Sameer and Anand be \\ 5 x years and 4 x years respectively \\ Then, \frac{5 x + 3}{4 x + 3} = \frac{11}{9} \\ \Rightarrow 9 (5 x + 3) = 11 (4 x + 3) \\ \Rightarrow 45 x + 27 = 44 x + 33 \\ \Rightarrow 45 x - 44 x = 33 - 27 \\ \Rightarrow x = 6 \\ ∴ Anand's present age \\ = 4 x \\ = 24 years \end{aligned}

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