Quantitative Aptitude • Ratio, Average & MixtureMedium
The ages of A and B are in the ratio 5 : 6. After 9 years, the ratio of their ages will be 44 : 51. What is A's present age?
A. 7 years
B. 42 years
C. 44 years
D. 35 years✓ Correct Answer
💡 Solution & Explanation
Let the present ages be 5x and 6x. After 9 years: (5x + 9) : (6x + 9) = 44 : 51. Cross-multiplying: 51(5x + 9) = 44(6x + 9), which gives 9x = 63, so x = 7. A's present age is 5 × 7 = 35 years (and B's is 42). Check: after 9 years they are 44 and 51, which is 44 : 51.
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