The average age of 10 members if a committee is same as it was 4 years ago…

2023

The average age of 10 members if a committee is same as it was 4 years ago because an old member has been replaced by a new member. How much younger is the new member ?

  1. A.

    40 years

  2. B.

    50 years

  3. C.

    45 years

  4. D.

    55 years

Attempted by 7 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

  1. Analyze the Age Increase: Over a period of 4 years, if no one had been replaced, each of the 10 members would have aged by 4 years.

  2. Calculate Total Age Increase: The total age of the committee would naturally increase by 10 members * 4 years = 40 years.

  3. Understand the Replacement: The average age remains the same after the replacement. This means the increase in total age (40 years) must be exactly offset by the difference in age between the old member who left and the new member who joined.

  4. Conclusion: To keep the average unchanged, the new member must be 40 years younger than the member they replaced.

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