Multiple choice

The average age of 5 children is 8 years. If the age of the father of the children is included, the average age becomes 13 years. Find the age of the father (in years).

  1. 30

  2. 34

  3. 37

  4. 38
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D Correct answer
Explanation

Sum of ages of 5 children = 5 * 8 = 40. Sum of ages of 5 children + father = 6 * 13 = 78. Father's age = 78 - 40 = 38.

AI explanation

Using the average formula, the total age of the 5 children is 5 times 8 = 40 years. When the father is included, the total age of the 6 family members becomes 6 times 13 = 78 years. The father's age is the difference between these two totals, which is 78 - 40 = 38 years.

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