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The average age of 30 students in a class is 15 years. When a new student is admitted, the average increases by 0.5 years. What is the age of the new student?

1. 30.5
2. 23.5
3. 24.5
4. 35.5

Correct answer: 30.5

Solution

The original total age is 30 × 15 = 450 years. After admission, the average becomes 15.5 for 31 students, so the new total is 31 × 15.5 = 480.5 years. The new student's age is 480.5 − 450 = 30.5 years.

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