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Question

In a group of 20 students the average age of the students is 10 years. A boy leaves the group and the average is decreased by 1 year. Find the age of that boy.

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Solution

The average age of 20 students is 10years
Sum of age of 20 students =20×10=200years
A boy leaves the group and the average is decreased by 1 year, means average age of 19 students is 9.
Sum of age of 19 students =19×9=171years
The age of that boy who leaves the group =200171=29years

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