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The average age of a committee of 12 members is 48 years. A member of the committee age 62 retired and in place of him a new person aged 26 joined the committee. Find the new average of the committee.
- a)44
- b)45
- c)46
- d)48
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The average age of a committee of 12 members is 48 years. A member of ...
Answer – 2.45 Explanation : Total age of committee = 48*12 new total age of committee = (48*12 – 62 + 26)/12 = 45
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The average age of a committee of 12 members is 48 years. A member of ...
Given information:
- The committee has 12 members.
- The average age of the committee members is 48 years.
- One member of age 62 retired.
- A new member of age 26 joined the committee.
To find:
- The new average age of the committee.
Solution:
Step 1: Find the sum of ages of the original committee members.
The sum of ages of the original committee members = 12 × 48 = 576
Step 2: Find the sum of ages of the new committee members.
The sum of ages of the new committee members = 576 - 62 + 26 = 540
Explanation: One member of age 62 retired, so we subtracted his age from the sum. And a new member of age 26 joined the committee, so we added his age to the sum.
Step 3: Find the new average age of the committee.
The new average age of the committee = sum of ages of new committee members / number of members in the new committee
= 540 / 12
= 45
Therefore, the new average age of the committee is 45 years.
Answer: Option (B)
- The committee has 12 members.
- The average age of the committee members is 48 years.
- One member of age 62 retired.
- A new member of age 26 joined the committee.
To find:
- The new average age of the committee.
Solution:
Step 1: Find the sum of ages of the original committee members.
The sum of ages of the original committee members = 12 × 48 = 576
Step 2: Find the sum of ages of the new committee members.
The sum of ages of the new committee members = 576 - 62 + 26 = 540
Explanation: One member of age 62 retired, so we subtracted his age from the sum. And a new member of age 26 joined the committee, so we added his age to the sum.
Step 3: Find the new average age of the committee.
The new average age of the committee = sum of ages of new committee members / number of members in the new committee
= 540 / 12
= 45
Therefore, the new average age of the committee is 45 years.
Answer: Option (B)
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The average age of a committee of 12 members is 48 years. A member of ...
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