Multiple choice

The ratio of present ages of a father and daughter is 5:3. 12 years hence the ratio of the ages will be 3:2. Find the present age of the father?

  1. 36

  2. 60

  3. 48

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 5x and 3x. (5x + 12) / (3x + 12) = 3 / 2. 10x + 24 = 9x + 36. x = 12. Father's age = 5 * 12 = 60.

AI explanation

Let the present ages of the father and daughter be 5x and 3x years. Twelve years hence, the ratio of their ages will be 3:2, giving the equation 2(5x + 12) = 3(3x + 12). Solving 10x + 24 = 9x + 36 yields x = 12. Therefore, the present age of the father is 5x, which is 5 times 12 or 60 years.

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