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The average age of 5 members of a family is 21 years. If the age of the youngest child is 5 years, find the average age of the family at the time of his birth.
1. 24 yrs
2. 25 yrs
3. 20 yrs
4. 28 yrs

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Correct Answer - Option 3 : 20 yrs

Given:

Average age of 5 members = 21 years

Age of youngest child = 5 years

Formula used:

Average =(Sum of values)/(Total number of values)

Calculation:

Sum of the age of 5 members = 21 × 5 = 105

5 years ago, each member’s age is reduced by 5

Total reduction in sum = 105 – 5(5) = 80

Number of reduced family members = 5 – 1 = 4

Average = 80/4 = 20

The average age of the family at the time of his birth is 20 years.

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