Question
Download Solution PDFAfter an old member is replaced by a new member, it is found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the age of the changed member and the new member?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average age of five members remains the same as 3 years ago after replacing an old member with a new one.
Concept Used:
If the average age remains the same, the total age of the group does not change despite the passage of time. The difference in age between the old and new members accounts for 3 years per member.
Calculation:
We have,
⇒ Difference in age = 3 years × Number of members
⇒ Difference in age = 3 × 5
⇒ Difference in age = 15 years
∴ The difference between the age of the changed member and the new member is 15 years
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