Quantitative Aptitude • Ratio, Average & MixtureMedium
The ages of A and B are in the ratio 2 : 3. After 12 years, the ratio of their ages will be 10 : 13. What is A's present age?
A. 30 years
B. 18 years✓ Correct Answer
C. 27 years
D. 9 years
💡 Solution & Explanation
Let the present ages be 2x and 3x. After 12 years: (2x + 12) : (3x + 12) = 10 : 13. Cross-multiplying: 13(2x + 12) = 10(3x + 12), which gives 4x = 36, so x = 9. A's present age is 2 × 9 = 18 years (and B's is 27). Check: after 12 years they are 30 and 39, which is 10 : 13.
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