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

The mean age of 25 teachers in a school is 40 years. A teacher retires at the age og 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is _________.
Option: 1 25
Option: 2 30
Option: 3 35
Option: 4 40

Answers (1)

best_answer

\\\overline{\mathrm{x}}=\frac{\sum_{\mathrm{i}=1}^{25} \mathrm{x}_{\mathrm{i}}}{25}=40 \\ \sum_{\mathrm{i}=1}^{25} \mathrm{x}_{\mathrm{i}}=1000

When the teacher left the school

\\\sum_{i=1}^{24} x_{i}=1000-60=940 \\ \bar{x}^{\prime}=\frac{\sum_{i=1}^{24}\left(x_{i}\right)+x}{25} \\ 39 \times 25=940+x \\ x=35

 

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himanshu.meshram

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