Question

The ratio of ages of Rahul and Neha is 3:4. After 5 years, the ratio becomes 4:5. What are their current ages?

• A. 15 and 20
• B. 18 and 24
• C. 21 and 28
• D. 24 and 32

Hint:

For age ratio problems, set up equations using the given ratios and solve for the variable.

Answer 1

The Correct Option is A

Let their ages be 3x and 4x. After 5 years: 3x + 5 and 4x + 5. Given new ratio: (3x + 5) : (4x + 5) = 4:5. Solve: 5(3x + 5) = 4(4x + 5) → 15x + 25 = 16x + 20 → x = 5. So ages are: 3x = 15, 4x = 20. Thus, the correct answer is: \[ \boxed{\text{15 and 20}} \]