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Out of 10 teachers of a school, one teacher retires and in his place, a new teacher of age 25 years joins. As a result, average age of teachers reduces by 3 years. The age of the retired teacher is
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- 50 years
- 55 years
- 58 years
- 60 years
- 50 years
Correct Option: B
Here, Age of new teacher = 25 years
Total age decreased = 10 × 3 = 30 years.
∴ Age of the retired teacher = Age of new teacher + Total age decreased
Age of the retired teacher = 25 + 30 = 55 years.
Second method to solve this question with the help of given formula :
Here, n = 10, X = 3
Age of new teacher = Age of retired teacher – Xn
25 = Age of retired teacher – 10 × 3
⇒ Age of retired teacher = 25 + 30 = 55 years
