Multiple choice

The age of a father is equal to the sum of the ages of his 5 children. After 15 years, the sum of the ages of the children will be twice the age of the father. Find the age of the father.

  1. 40 years

  2. 45 years

  3. 48 years

  4. 50 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the father's current age be F and the sum of children's current ages be S. Given F = S. After 15 years, sum of children's ages will be S + 5*15 = S + 75, and father's age will be F + 15. Given S + 75 = 2(F + 15). Substituting F = S: S + 75 = 2S + 30, so 45 = S. Therefore F = 45 years.

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