Question

A person's present age is two-fifth of the age of his mother. After $8$ years, he will be one-half of the age of his mother. How old is the mother at present?

• A. $32$ years
• B. $36$ years
• C. $40$ years
• D. $48$ years

Answer 1

The correct option is C $40$ years

Let present age of mother is $x$, then present age of his som $=\frac{2x}{5}$

After $8$ year

son's age $\frac{2x}{5}+8$

mother's age $=x+8$

And given that son's age is $\frac{1}{2}$ time of mother's

$\frac{2x}{5}+8=\frac{1}{2}(x+8)$

$x=40$

Hence ,present age of mother is $40$