# Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar’s age at present?

A. 16 years B. 18 years C. 20 years D. Cannot be determined Answer: Option A
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively. $\begin{array}{l} \text { Then, } \frac{(6 x+6)+4}{(5 x+6)+4}=\frac{11}{10} \\ \Rightarrow 10(6 x+10)=11(5 x+10) \\ \Rightarrow 5 x=10 \\ \Rightarrow x=2 \\ \therefore \text { Sagar’s present age } \\ =(5 x+6) \text { years } \\ =16 \text { years } \end{array}$