The average age of a committee of 10 members is 42 years. A member of age 53 retires and a new member of age 45 years takes his place. What is the average age of the new committee?
41.2 years
To find the average age of the new committee, we need to go through a step-by-step process:
-
The original average age of the committee is 42 years. Since there are 10 members, the total age of the committee comes out to be:
42 \times 10 = 420 -
A member aged 53 years retires, reducing the total age of the committee:
420 - 53 = 367 -
A new member aged 45 years joins. Add this age to the adjusted total age:
367 + 45 = 412 -
To find the new average age of the committee, divide the new total age by the number of members (which remains 10):
\frac{412}{10} = 41.2 - Therefore, the average age of the new committee is 41.2 years.
Among the options given, the correct answer is 41.2 years.
This shows that the replacement of the member slightly reduced the average age of the committee.
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