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In a class there are 40 boys and their average age is 16 years. One boy aged 17 years leaves the school and another joins, and their average age becomes 15.95 years. What is the age of the new boy ?
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- 14 years
- 15 years
- 16 years
- 18 years
- 14 years
Correct Option: B
Here , The average age of 40 boys = 16 years.
Total age of 40 boys initially = 16 × 40 = 640 years
Age of replaced boy = 17 years
Total age of 39 boys = 640 – 17 = 623 years
New total age = 40 × 15.95 = 638 years
∴ Age of new boy = 638 – 623 = 15 years
