Question

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
• E. None of these

Answer 1

Answer: (A)

16 years

Let the ages of Kunal and Sugar 6 years ago be 6x and 5x years respectively.
Then, $\frac{(6x+6)+4}{(5x+6)+4}=\frac{11}{10}$
$\Rightarrow 10(6x+10)=11(5x+10)$
$\Rightarrow 5x=10$
$\Rightarrow x=1$
$\therefore$ Sagar's present age = (5x + 6) = 16 years.