Multiple choice

At present, the average age of a father and his son is 29 years. The average age of father, mother and son five years from now will be 37 years. Find the mother's present age.

  1. 38 years

  2. 39 years

  3. 40 years

  4. 41 years

  5. 42 years
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A Correct answer
Explanation

Present sum of father and son = 29 * 2 = 58. Five years from now, sum of father, mother, and son = 37 * 3 = 111. Their present sum = 111 - (3 * 5) = 111 - 15 = 96. Mother's age = 96 - 58 = 38.

AI explanation

The present sum of the father's and son's ages is 2 multiplied by 29, which is 58 years. In five years, the total age of the father, mother, and son will be 3 multiplied by 37, which is 111 years. The present total age of all three family members is 111 minus the 15 years gained over five years, or 96 years. The mother's present age is 96 minus 58, which equals 38 years.

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