MasteryExams
Quantitative Aptitude • Ratio, Average & MixtureMedium

The ages of A and B are in the ratio 4 : 5. After 10 years, the ratio of their ages will be 22 : 25. What is A's present age?

A. 15 years
B. 22 years
C. 3 years
D. 12 years✓ Correct Answer

💡 Solution & Explanation

Let the present ages be 4x and 5x. After 10 years: (4x + 10) : (5x + 10) = 22 : 25. Cross-multiplying: 25(4x + 10) = 22(5x + 10), which gives 10x = 30, so x = 3. A's present age is 4 × 3 = 12 years (and B's is 15). Check: after 10 years they are 22 and 25, which is 22 : 25.

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