Question

Two years ago, Mohit was three times as old as his son and two years hence, twice of Mohit's age will be equal to five times that of his son. Then the present age of Mohit's son is

• A. 14 years
• B. 28 years
• C. 32 years
• D. 34 years

Answer 1

The correct option is A 14 years

Let age of Mohit's son = $x$

2 years ago Mohit's son age = $x-2$

Mohit age at that time = $3(x-2)$

Present age of Mohit = $3(x-2)+2$

$3x-6+2=3x-4$

$2$ year hence Mohit's age = $(3x-4)+2$

$2$ year hence son's age = $x+2$

According to question

$5(x+2)=2(3x-2)$

$x=14$

Present age of Mohit's son = $14$ years

Mohit Age = $38$ years