The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio will be 3 : 4. What is B's present age?
A. 28 years
B. 35 years
C. 49 years
D. 42 years
A. 28 years
B. 35 years
C. 49 years
D. 42 years
Best answer
Answer: D. 42 years
Answer: (D) 42 years
\(\frac{5x + 6}{7x + 6} = \frac{3}{4}\) ⇒ \(20x + 24 = 21x + 18\) ⇒ \(x = 6\).
B = 7 × 6 = 42 years (A = 30). Check: 36 : 48 = 3 : 4.
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