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. $14$ years
• D. $20$ years

Answer 1

The correct option is A $16$ years

Let the ages of Kunal and Sagar $6$ years ago be $6x$ and $5x$ years respectively.
Then, $\frac{(6x+6)+4}{(5x+6)+4}=\frac{11}{10}$
$\Rightarrow 10(6x+10)=11(5x+10)$
$\Rightarrow 60x+100=55x+110$
$\Rightarrow x=2$
$\therefore$ Sagar's present age $=5x+6=16$ years