Question

Eight years ago, Raghav was four times as old as his brother Pankaj. Four years hence, Raghav's age will exceed his brother's age by $6$ years. The ratio of the present ages of Raghav and his brother is

• A. $8:5$
• B. $10:9$
• C. $7:5$
• D. $12:5$

Answer 1

The correct option is A $8:5$

Let Pankaj's age $8$ years ago be $x$ years.
Then, Raghav's age $8$ years ago $=4x$ years.
$\therefore$ Present age of Pankaj $=(x+8)$ years
and present age of Raghav $=(4x+8)$ years
According to question,
$(4x+8)+4=(x+8+4)+6$
$\Rightarrow 4x=x+6$
$\Rightarrow 3x=6$
$\Rightarrow x=2$
Ratio of present age of Raghav and Pankaj
$=\frac{4x+8}{x+8}=\frac{16}{10}=8:5$