Question

The ages of Shauna and Imam are in the ratio of 7:3 respectively. After 9 years the ratio of their ages will be 4:3. What is the age of Imam?

• A. 7 years
• B. 5 years
• C. 3 years
• D. 12 years
• E. None of these

Answer 1

Answer: (C)

3 years

Answer 2

Let Shauna's current age be 7x and Imam's current age be 3x.
After 9 years, Shauna's age will be 7x + 9 and Imam's age will be 3x + 9.
The new ratio is 4:3, so (7x + 9) / (3x + 9) = $\frac{3}{4}$
Cross-multiply: 3(7x + 9) = 4(3x + 9)
Simplify: 21x + 27 = 12x + 36
Solve for x: 9x = 9 => x = 1
Imam's current age is 3x = 3 * 1 = 3 years
Answer: (3) 3 years
The Correct option is(C)