Quantitative Aptitude • Ratio, Average & MixtureMedium
The ages of A and B are in the ratio 4 : 5. After 3 years, the ratio of their ages will be 31 : 38. What is A's present age?
A. 28 years✓ Correct Answer
B. 31 years
C. 7 years
D. 35 years
💡 Solution & Explanation
Let the present ages be 4x and 5x. After 3 years: (4x + 3) : (5x + 3) = 31 : 38. Cross-multiplying: 38(4x + 3) = 31(5x + 3), which gives 3x = 21, so x = 7. A's present age is 4 × 7 = 28 years (and B's is 35). Check: after 3 years they are 31 and 38, which is 31 : 38.
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