A man’s current age is $\frac25$ of the age of his father. After 8 years, he will be $\frac12$ of the age of his father. What is the age of father at now ?

A 50

B 40

C 33

D 30

Correct Answer: Option B

Let, father’s current age is A years.
Then, Man’s current age = $\left[\left(\frac25\times A\right)\right]$ years $[(\frac{2}{5} * A)]$

$\left[\left(\frac25\times A\right)\right]$ +8 =$\left(\frac12\right)\left(A+8\right)$

2(2A+40) = 5(A+8)

A = 40

$[(\frac{2}{5} * A)]$