Question

The ratio of the present ages of Rahim and his wife is 4:3. After 4 years the ratio of their ages will be 9:7. Then find the present age of Rahim.

• A. 36
• B. 34
• C. 30
• D. 32

Answer 1

The correct option is D 32

Let the present age of Rahim be '$x$'.
Present ratio $=4:3$
So, age of his wife $=\frac{3x}{4}$
After 4 years, ratio becomes $9:7.$
So,
$\frac{x+4}{\frac{3x}{4}+4}=\frac{9}{7}7x+28=\frac{27x}{4}+36\frac{x}{4}=8x=32$
Present age of Rahim = 32