General Aptitude › Problems on Ages › Question #4387
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QThe present ages of Amit and his father are in the ratio 2: 5 respectively. Four years hence, the ratio of their ages becomes 5:11 respectively. What was the father's age five years ago?

ID: #4387 Problems on Ages 196 views
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  • A 30 years ✔ ✖
  • B 40 years ✔ ✖
  • C 45 years ✔ ✖
  • D 35 years ✔ ✖
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Explanation

Let the present ages of Amit and his father be 2x and 5x years respectively. Four years from now, the ages of Amit and his father will be (2x + 4) and (5x + 4) years respectively. The ratio of their ages four years from now is (2x + 4) : (5x + 4) = 5 : 11. Solving this equation for x, we get x = 3. Substituting this value in the expression for the father's present age, we get that the father's present age is 5 * 8 = 40years. Therefore, the father's age five years ago was 40- 5 = 35years.

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