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 required equation.

• A. $\frac{4x+1}{3x+3}=\frac{9}{7}$
• B. $\frac{4x+4}{3x+4}=\frac{9}{7}$
• C. $\frac{4x-4}{4x+3}=\frac{7}{9}$
• D. $\frac{4x+2}{3x}=\frac{7}{9}$

Answer 1

The correct option is B $\frac{4x+4}{3x+4}=\frac{9}{7}$

Let the present age of Rahim be $4x$ years.
So, present age of Rahim’s wife is $3x$ years.
Age of Rahim after 4 years is $4x+4$ years and his wife’s age will be $3x+4$.
After 4 years , the ratio of their ages is 9:7.
$\therefore \frac{4x+4}{3x+4}=\frac{9}{7}$