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3 years ago, the average age of a family of 3 members was 32 years. A baby was born, the average age of the family today is 27 years. Find the age of the child.
1. 2 years
2. 1 year
3. 1.5 year
4. 3 years

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Correct Answer - Option 4 : 3 years

Given:

The average age of the 3 members of the family 3 years ago = 32 years

The average age of the family (i.e. 4 members) today = 27 years

Formula used:

Sum of all observations = Average × Total number of observations

Calculation:

Total age of family (i.e. 3 members) 3 years ago = 32 × 3 = 96 years

Total age of 3 members today = 96 + 3 × 3 = 105

Total age of family (i.e. 4 members) today = 27 × 4 = 108

Total age of child today = 108 - 105 = 3 years

∴ Age of child is 3 years

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