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Question

# Three years ago the average age of a family of 5 members was 27 years. On addition of a child to the family, the present average age of the family is still 27 years. Find out the present age of the child.

A
16 years
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B
12 years
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C
24 years
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D
20 years
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E
None of these
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Solution

## The correct option is B 12 yearsPresent average age of 5 members =27+3=30 years Sum of present ager of 5 members =30×5=150 years Let, the present age of the child be x years. Present average age of 6 members. =150+x6 and this is equal to 27 years. So, 150+x6=27 or, x=278×6−150 or, x=12 years.

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