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: Option C
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Solution(By Apex Team)

Let the mother’s present age be x years Then, the person’s present age $\begin{array}{l} =\frac{2}{5} x \text { years } \\ \therefore \frac{2}{5} x+8=\frac{1}{2}(x+8) \\ \Rightarrow 2(2 x+40)=5(x+8) \\ \Rightarrow x=40 \end{array}$