Question

There are 8 teacher in a school when 35 year old teacher was transferred and another teacher joined the average was increased by two years how old is the new teacher ? ​

Answer 1

Answer:

35+8/2

Step-by-step explanation:

43/2

21.5

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Answer 2

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The age of new teacher is 51 years.

Step-by-step explanation:  Given that there are 8 teachers in the school.  One of the teachers with age 35 is transferred to another school, and when a new teacher came the average age of the toatal 8 teachers is increased by 2 years.

So, let the average of the 8 teachers before transfer be 'p' years, the sum of the ages of the fixed 7 teachers be 'x' years and let the age of the new teacher be 'y' years.

$\begin{gathered}\dfrac{x+35}{8}=p~~~\textup{and}~~~\dfrac{x+y}{8}=p+2\\\\\\\Rightarrow \dfrac{x+35}{8}=\dfrac{x+y}{8}-2\\\\\\\Rightarrow x+35=x+y-16\\\\\Rightarrow y=51.\end{gathered}8x+35=p   and   8x+y=p+2⇒8x+35=8x+y−2⇒x+35=x+y−16⇒y=51.$

Thus, the age of the new teacher is 51 years.