Question

Rahul mother's present age is six times Rahul's present age. Rahul's age five years from now will be one-third of his mother's present age. What are their present ages?

• A. Present age of Rahul is $8$ years and that of his mother is $48$ years
• B. Present age of Rahul is $9$ years and that of his mother is $54$ years
• C. Present age of Rahul is $5$ years and that of his mother is $30$ years
• D. Present age of Rahul is $4$ years and that of his mother is $24$ years

Answer 1

The correct option is C Present age of Rahul is $5$ years and that of his mother is $30$ years

Let the present age of the Rahul be $x$ years.
So, present age of his mother is $6x$ years.
Given, rahul's age five years from now will be one-third of his mother's present age.
$\Rightarrow x+5=2x$

$\Rightarrow 5=2x-x$

[Transposing $x$ to RHS]

$\Rightarrow x=5$
Therefore, present age of Rahul is $5$ years and that of his mother is $6\times 5=30$ years