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The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present age of the father is:

Question and options

The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present age of the father is:
  1. 35 years
  2. 40 years
  3. 30 years
  4. 25 years

Answer and explanation

Correct answer: A - 35 years
Let the ages be 7x7x and 2x2x. 7x+102x+10=94\frac{7x+10}{2x+10} = \frac{9}{4} gives 28x+40=18x+9028x + 40 = 18x + 90, so x=5x = 5. The father is 35 (son 10; after 10 years 45:20 = 9:4).

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  • CUSAT CAT Five-Year LL.B.

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