Discussion Forum

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

Answer:

Explanation:

Let the ages of Karan and Arjun 6 years ago be $6x$ and $5x$ years respectively.
Then, $\frac{(6x+6)+4}{(5x+6)+4}$ $=\frac{11}{10}$
$\Leftrightarrow$ $10(6x+10)$
$=11(5x+10)$ $\Leftrightarrow 5x$ $=10$
$\Leftrightarrow x=2$.
$\therefore$ Arjun's present age $=(5x+6)=16$ years.