Question

the mean age of 10 students of a class is 15 years.a student age of 14 years leaves the class and in his place age of thier teacher is counted.thus the mean age of group to 16.find the age of the teacher

Answer 1

Answer:

24&7&&7-6_&7"kar 7*&*7&&7*6_&75₹46*5-*₹66453745₹7&35643

Answer 2

The age of the teacher is 24.

$Inittally; \quad \frac{x_{1}+x_{2}+x_{3}+\cdots+x_{10}}{10}=15\\x_{1}+x_{2}+\cdots+x_{10}=150$

$Now let the 10^{\text {th }} stulent leave \begin{aligned}x_{1}+x_{2}+\cdots+x_{4} &=150 \\x_{1}+x_{2}+\cdots+x_{9} &=150-14 \\&=136\end{aligned} Now a teacher with age ' y ' is counted \begin{gathered}\frac{x_{1}+x_{2}+\cdots+x_{9}+y}{10}=16 \\x_{1}+x_{2}+\cdots+x_{9}+y=160 \\=136+y=160 \\y=24\end{gathered}$

Hence, the age of the teacher are 24.

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