Question

The ages of A and B are in the ratio 6 : 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years?

• A. 8:7
• B. 7:8
• C. 8:9
• D. 9:8

Hint:

When ages are given in a ratio and total is known, multiply the ratio by a variable to find individual ages.

Answer 1

The Correct Option is A

Let the present ages of A and B be \( 6x \) and \( 5x \). Sum of ages: \[ 6x + 5x = 11x = 44 \Rightarrow x = 4 \] So, A = 24, B = 20 Step 2: Ages after 8 years: \[ A = 24 + 8 = 32,\quad B = 20 + 8 = 28 \] \[ \text{Ratio} = \frac{32}{28} = \frac{8}{7} \]