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The average age of a mother and her six children is 12 years, which is reduced by 5 years if the age of the mother is excluded. The age of the mother (in years) is:

1. 40
2. 42
3. 48
4. 50

Correct answer: 42

Solution

The average age of 7 people is 12, so their total age is 7 × 12 = 84. Excluding the mother, the average of 6 children becomes 7, so their total age is 6 × 7 = 42. Therefore, the mother’s age is 84 - 42 = 42 years.

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