Question 123

Out of 10 teachers of a school, one teacher retires and in place of him a new teacher 25 yrs of old joins. As a result of it average age of the teachers reduces by 3 years. Age of the retired teacher (in year) is:

Solution

Let initial average of the 10 teachers = $$x$$ years and age of retired teacher = $$y$$ years

=> Sum of ages of 10 teachers = $$10x$$ years

According to ques,

=> $$\frac{10x-y+25}{10}=(x-3)$$

=> $$10x-y+25=10x-30$$

=> $$y=25+30=55$$

$$\therefore$$ Age of the retired teacher = 55 years

=> Ans - (A)

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