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The mean age of 25 teachers in a schools is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If now the mean age of the teachers in this schools is 39 years, then the age (in years) of the newly appointed teacher is

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Detailed Solution

Let X be Sum of ages of teachers

Mean $= \frac{x}{25} = 40 \Rightarrow x = 1000$

New teacher added in place of ages 60

Sum of remaining teachers is 940

Let New teacher age be a

New mean =39

$\begin{array}{rcl} \frac{940 + a}{25} & = & 39 \\ 940 + a & = & 975 \\ a & = & 35 \end{array}$

New teacher age =35 years

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