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Question

The average age of 12 children is 20 years. If the age of one more child is added, the average is decreased by 1. What is the age of the child added later ?

A
9 years
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B
8 years
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C
7 years
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D
6 years
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Solution

The correct option is C 7 years
Let the age of child added later be x years.
average age of 12 children =20 years
Total age of 12 children =20×12=240 years
After one more child is added-
Average of 13 children =201=19 years
Average age of 13 children =sum of 12 children+x13
19=240+x13
240+x=247
x=247240=7 years
Hence the age of child added later is 7 years.

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