The present age of Mr. Sanyal is three times the age of his son. Six years hence , the ratio of their ages will be 5 : 2. What is the present age of Mr. Sanyal ?

A. 48 years

B. 50 years

C. 54 years

D. 60 years

E. None of these

Answer: Option C

Solution(By Examveda Team)

Let the son's age be $$x$$ years ,
Then Mr. Sanyal's age = 3$$x$$ years
$$\eqalign{ & \therefore \frac{{3x + 6}}{{x + 6}} = \frac{5}{2} \cr & \Rightarrow 2\left( {3x + 6} \right) = 5\left( {x + 6} \right) \cr & \Rightarrow 6x + 12 = 5x + 30 \cr & \Rightarrow x = 18 \cr} $$
∴ Present age of Mr. Sanyal = 3x years
= (3 × 18) years
= 54 years