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Quantity I: The average age of students is 24. When a teacher aged 36 is included, the average becomes 25. Find the number of students. Quantity II: 11 Compare Quantity I and Quantity II.

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I = Quantity II or no relation

Correct answer: Quantity I = Quantity II or no relation

Solution

Let the number of students be n. The original sum is 24n, and after adding the teacher the average becomes 25 for n+1 people, so 24n + 36 = 25(n+1). Solving gives n = 11, so Quantity I equals Quantity II.

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