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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 Sagars age at present?

16 years
18 years
20 years
Cannot be determined
Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6$ x $ and 5$ x $ years respectively.

Then,$ \dfrac{(6x + 6) + 4}{(5x + 6) + 4} $=$ \dfrac{11}{10} $

$\Rightarrow$ 10$\left(6x + 10\right)$ = 11$\left(5x + 10\right)$

$\Rightarrow$ 5$ x $ = 10

$\Rightarrow x $ = 2.

$\therefore$ Sagars present age = $\left(5x + 6\right)$ = 16 years.

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