Question

The ratio of ages of A and B is 3:5, and their sum is 64. What will be their age ratio after 5 years?

• A. 25:45
• B. 28:44
• C. 29:45
• D. 26:48

Hint:

For age ratios, use variables for the ratio, solve for current ages, and compute the new ratio after the time period.

Answer 1

The Correct Option is C

- Step 1: Set up current ages. Ratio A:B = 3:5. Let A = $3x$, B = $5x$. Sum: $3x + 5x = 8x = 64$.
- Step 2: Solve for $x$. $x = \frac{64}{8} = 8$.
- Step 3: Current ages. A = $3 \cdot 8 = 24$, B = $5 \cdot 8 = 40$.
- Step 4: Ages after 5 years. A = $24 + 5 = 29$, B = $40 + 5 = 45$.
- Step 5: New ratio. $29:45$. - Step 6: Conclusion. Option (3) 29:45 is correct.