Question

Present ages of Amit and his father are in the ratio 2:5 respectively. Four years hence the ratio of their ages becomes 5:11 respectively. What was the father's age five years ago?

• A. 40 years
• B. 45 years
• C. 30 years
• D. 35 years

Answer 1

The correct option is D 35 years

Let the present ages of Amit and his father be 2x and 5x years respectively
Four years hence
Amit's Age = ( 2x+ 4) years
Father's age = (5x + 4) years
Given $\frac{2x+4}{5x+4}=\frac{5}{11}\Rightarrow (2x+4)=5(5x+4)$

$\Rightarrow 22x+44=25x+20\Rightarrow 3x=24\Rightarrow x=8$

$\therefore$ Father's present age = ( 5 x 8) years = 40 years Father's age 5 years ago = ( 40 - 5)= 35 years