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The average age of 20 students in a class is 9 years. If 10 new students are admitted, the average age of the class increases by 6 months. Find the average age of the newly admitted students.
- 10 years 6 months
- 10 years 3 months
- 9 years 6 months
- 9 years 9 months
Correct answer: 10 years 6 months
Solution
Initial total age = 20 × 9 = 180 years. After 10 students join, total students = 30 and average becomes 9.5 years, so new total age = 30 × 9.5 = 285 years. Therefore, the 10 new students together have age 285 − 180 = 105 years, so their average age is 10.5 years = 10 years 6 months.
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