Multiple choice

In a family, the average age of 3 sons is 12 years. The average age of the family including the sons, mother and father is 22.8 years. If the father is 6 years older than the mother, then what is the present age of the mother?

  1. 42 years

  2. 36 years

  3. 45 years

  4. 38 years

  5. 32 years
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B Correct answer
Explanation

Let the present age of mother be x years. So, age of father = x + 6 years The average age of 3 sons is 12 years. Therefore, sum of the ages of 3 sons = 3 x 12 = 36 years Now, according to question, (36 + x + 6 + x)/5 = 22.8 x = 36 years So, the present age of mother is 36 years.

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