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Out of 10 teachers of a school, one teac...

Out of 10 teachers of a school, one teacher retires and at his place a new teacher of age 25 years joins. As a result of it, the average age of the teachers is reduced by 3 years. The age of the retired teacher is:

A

60

B

55

C

50

D

58

Text Solution

Verified by Experts

The correct Answer is:
B
मानाकि अध्यापकों की औसत आयु पहले x वर्ष की तथा सेवानिवृत अध्यापक की आयु y वर्ष थी।
`:. 10 " अध्यापकों की कुल आयु " = 10x` वर्ष
25 वर्ष के नए अध्यापक के आने के बाद औसत आयु `= (x-3)`
`:. ((10x-y) + 25)/10 = (x-3)`
`implies 10x -y + 25 = 10x -30`
`=y=25 + 30 = 55` वर्ष
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