Multiple choice

When two students of a class of 40 students were expelled, the average age of the class, which was 18 years, did not change. If one of the students was 14 years old, what was the age (in years) of the second student?

  1. 22

  2. 24

  3. 26

  4. 20
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A Correct answer
Explanation

Total age = 40 * 18 = 720. After 2 students leave, 38 students remain with average 18. New total = 38 * 18 = 684. Sum of removed students = 720 - 684 = 36. If one is 14, the other is 36 - 14 = 22.

AI explanation

The total age of the original 40 students was 40 times 18, which equals 720 years. Since the average did not change after two students were expelled, the total age of the remaining 38 students is 38 times 18, which equals 684 years. The sum of the ages of the two expelled students is 720 - 684 = 36 years. If one student is 14 years old, the second student is 36 - 14 = 22 years old.

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