Multiple choice

The ratio of father's age to that of his son is equal to the ratio of the mother's age to that of daughter. If the ages of mother, son and daughter be 48, 24, 18 years respectively, then the age of father is ______ .

  1. $54$ years
  2. $60$ years
  3. $64$ years
  4. $50$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The ratio of father/son = mother/daughter. Given mother=48, son=24, daughter=18, we have F/24 = 48/18. F/24 = 8/3. F = (8/3) * 24 = 64.

AI explanation

Let the father's age be F. The ratio of the father's age to the son's age equals the ratio of the mother's age to the daughter's age, giving F / 24 = 48 / 18. This simplifies to F / 24 = 8 / 3. Multiplying both sides by 24 gives F = (8 * 24) / 3, which equals 64 years.