The present ages of a father and his son are in the ratio 9 : 4. After 5 years, the ratio of their ages will be 2 : 1. What is the father's present age?
A. 40 years
B. 50 years
C. 45 years
D. 36 years
A. 40 years
B. 50 years
C. 45 years
D. 36 years
Best answer
Answer: C. 45 years
Answer: (C) 45 years
Let the ages be \(9x\) and \(4x\). \(\frac{9x + 5}{4x + 5} = \frac{2}{1} \Rightarrow 9x + 5 = 8x + 10 \Rightarrow x = 5\). Father \(= 9 \times 5 = 45\) years (son 20; after 5 years 50 and 25).
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