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The average age of 40 students of a class is 18 years. When 20 new students are admitted to the same class, the average age of the students of the class is increased by 6 months. The average age of newly admitted student is
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- 19 years
- 19 years 6 months
- 20 years
- 20 years 6 months
- 19 years
Correct Option: B
Given that , The average age of 40 students of a class = 18 years. On admitting 20 new students to the same class, the average age of the students of the class increased by = 6 months
Total age of 20 new students = (60 × 18.5 – 40 × 18) years
Total age of 20 new students = (1110 – 720) years = 390 years
∴ Their average age = 390 ÷ 20 = 19.5 years
Hence , Their average age = 19 years 6 months