Question
Download Solution PDFThe average age of 15 members of a committee is increased by 4 years when two members whose ages are 60 years and 70 years are replaced by the two new members. What is the average age of the new members?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Average age of 15 members increased by 4 years when two members of ages 60 and 70 are replaced
Concept:
Average is the sum of all observations divided by the number of observations.
Solution:
Total increase in age = 15 members × 4 years/member = 60 years
Sum of ages of new members = Sum of ages of replaced members + Total increase in age = 60 + 70 + 60 = 190 years
Average age of new members = Sum of ages of new members/Number of new members = 190/2 = 95 years
Hence, the average age of the new members is 95 years (Option 4).
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