Question

At present Pooja is $21$ years younger to her mother. $6$ years from now, Pooja will be half her mother's age then. How old is Pooja's mother at present?

• A. $36$ years
• B. $40$ years
• C. $42$ years
• D. $45$ years

Answer 1

The correct option is A $36$ years

Let Pooja's current age be $x$ years.

Then, Pooja's mother's current age $=(x+21)$ years.
Thus after $6$ years from now, Pooja's age $(x+6)$ years
and Pooja's mother's age $(x+21)+6$ $=(x+27)$ years.
Given, $(x+6)=\frac{1}{2}(x+27)$
$\Rightarrow 2x+12=x+27$
$\Rightarrow 2x-x=27-12$
$\Rightarrow x=15$
$\therefore$ Pooja's mother's age now will be $(15+21)$ $=36$ years.