In a committee there are 15 members. If two members whose ages are 45 years and 55 years are replaced by the two new members, then average age of 15 members is increased by 2 years. What is the average age (in years) of the new members?

In a committee there are 15 members. If two members whose ages are 45 years and 55 years are replaced by the two new members, then average age of 15 members is increased by 2 years. What is the average age (in years) of the new members?
1). 59
2). 61
3). 65
4). 68

Let the initial sum x of ages of 15 members = 15A

According to the question

15A - (45 + 55) + (2 new members) = 15(A + 2)

⇒ 15A - 100 + (2 new members) = 15A + 30

⇒ Sum of ages of 2 new members = 130

∴ Average age of the 2 new members = 130/2 = 65 years

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