Question

there are 8 teachers in in a school when a 35 year old teacher was transferred and another teacher join the average age was increased by 2 years how old is the new teacher

Answer 1

the 8 teachers year=35
the join teacher =37

Answer 2

Answer:  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.

Therefore, we can have

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

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