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The average age of 5 members of a family is 20 years. If a new member joins the family, the average age becomes 18 years. What is the age of the new m
Question

The average age of 5 members of a family is 20 years. If a new member joins the family, the average age becomes 18 years. What is the age of the new member?

A.

10 years

B.

12 years

C.

8 years

D.

15 years

Correct option is C

Given
Initial number of members = 5
Initial average age = 20 years
New average age after 1 member joins = 18 years

Formula Used
Total Age =  Average Age×Number of MembersAverage\ Age \times Number \ of \ Members​​
Age of new member = New Total Age - Old Total Age

Solution
Old total age of 5 members = 5×205 \times 20​ = 100 years
New total age of 6 members = 6×186 \times 18​ = 108 years
Age of the new member = 108 - 100 = 8 years
Final Answer
So the correct answer is (c)

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