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Question

A father is presently 3 times his daughter’s age. After 10 years he will be twice as old as her. Find the daughter’s present age.

The correct answer is

10 years

Let the daughter’s present age be x years. Then the father's age is 3x years.

In 10 years, the daughter’s age will be x + 10 and the father’s age will be 3x + 10. According to the condition, 3x + 10 = 2(x + 10).

Solving for x: 3x + 10 = 2x + 20 → x = 10. So, the daughter’s present age is 10 years.

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Important Questions from Age

  1. The ages of two persons P and Q are in the ratio 5 : 7. Eight years ago, the ratio of P and Q was 7 : 13. The present ages of P and Q, respectively, are:

  2. One year ago, the ratio of the ages of A and B was 4 : 3. The ratio of their ages, after 7 years from now, will be 9 : 7. What is the present age (in years) of B?

  3. In 8 years, Subhash will be 3 times as old as he is now. After how many years will Subhash be 5 times as old as he is now?

  4. The average ages of parents and two children are 30 years and 8 years respectively. The average age of the family is

    A. 16 years

    B. 19 years

    C. 18 years

    D. 17 years

  5. Namya got married 6 years ago. Now her age is 114times her age at the time of marriage. Her son’s present age is one-fifth of her present age. Find her son’s present age.

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