Multiple choice

The average age of 10 persons in a committee decreases by 2 years when two men aged 33 years and 37 years are substituted by two younger men. Find the average age of these two younger men.

  1. 29

  2. 28

  3. 24

  4. 25

  5. None of these
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D Correct answer
Explanation

The total age decrease is 10 * 2 = 20 years. The sum of the ages of the two men replaced is 33 + 37 = 70. The sum of the ages of the two new men is 70 - 20 = 50. Their average age is 50 / 2 = 25.

AI explanation

The total age of the committee decreases by 10 times 2 years, which equals a total reduction of 20 years. The sum of the ages of the two men leaving the committee is 33 plus 37, giving 70. Subtract the 20 year reduction from 70 to find the combined age of the two younger men. The sum is 50, and dividing by 2 gives their average age. The average age is 25.

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