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Q.

The mean age of 5 children of a family is 12 years. If four of them are respectively 6,11,13 and 16 years. Find the age of the fifth child.


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a

14

b

15

c

17

d

18 

answer is A.

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Detailed Solution

Concept- To solve this problem, we need to find  the total age of the five children in the family. Then subtract the ages of the four children and the remaining age will be the age of her fifth child.
The question states that the average age of five children is 12 years.
Therefore, the total age of the five children Question ImageNow we need to subtract the indicated ages of her 4 children from the total age of the 5 children Question ImageThe age of the fifth child.
Therefore, the age of the fifth child = 14 years.
Hence, the correct option is 1.
 
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