Question 10

In a committee there are 25 members. If two members whose ages are 64 years and 40 years are replaced by the two new members, then average age of 25 members is decreased by 2 years. What is the average age (in years) of the new members?

Solution

Let average age of 25 members = $$x$$ years

=> Total age of 25 members = $$25x$$

Let sum of ages of 2 new members = $$2z$$, thus average age = $$z=?$$

According to ques,

=> $$\frac{25x-64-40+2z}{25}=x-2$$

=> $$25x-104+2z=25x-50$$

=> $$2z=104-50=54$$

=> $$z=\frac{54}{2}=27$$

$$\therefore$$ Average age of the new members = 27

=> Ans - (A)

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