Question

A man is three years elder than his wife and four times as old as his son. If the son shall attain an age of fifteen years after three years, what is the present age of his wife?

• A. $60$ years
• B. $51$ years
• C. $48$ years
• D. $45$ years

Answer 1

The correct option is D $45$ years

Let age of wife is $x$

Thus age of man will be $x+3$

Age of man $=4\times$ son
After three year age of son will be $15$

So, the age of son now is $15-3=12$

Age of man $=4\times 12=48$
Age of wife $=48-3=45$

Therefore, present age of wife is $45$ years.