Quantitative Aptitude • Ratio, Average & MixtureMedium
The ages of A and B are in the ratio 2 : 3. After 10 years, the ratio of their ages will be 9 : 11. What is A's present age?
A. 12 years
B. 18 years
C. 8 years✓ Correct Answer
D. 4 years
💡 Solution & Explanation
Let the present ages be 2x and 3x. After 10 years: (2x + 10) : (3x + 10) = 9 : 11. Cross-multiplying: 11(2x + 10) = 9(3x + 10), which gives 5x = 20, so x = 4. A's present age is 2 × 4 = 8 years (and B's is 12). Check: after 10 years they are 18 and 22, which is 9 : 11.
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