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Q.
The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ?
A.
33 yrs
B.
27 yrs
C.
21 yrs
D.
29 yrs
View Answer
Correct choice: D
Explanation:
Let the avg age of 7 boys be 'p' years Let the age of the girl be 'q' years From given data, The age of 7 boys = 7p years Now the new average = (p + 1) when 22 yrs is replaced by q Now the age of all 7 will become = 7(p + 1) yrs Hence, 7p - 22 + q = 7(p + 1) yrs 7p - 22 + q = 7p + 7 q = 22 + 7 = 29 Therefore, the age of girl = q = 29 years.
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