Question

There are 8 teachers in a school. When a 35 year old teacher was transferred and another teacher joined, the average age was increased by 2 years. How old is the new teacher ?

Explain the answer very well.(step by step explanation).

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I am in class 6 .

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Answer 1

Answer:

....let n be the total age of all the teachers

then avg. age=n/8

when 35 year old left another joined (let his age be x)

then avg. age=(n-35+x)/8............ (1)

also acc. to question

avg. age=n/8 +2........... (2)

equating both the eq.s

we get

x=51

so if the age of teacher who joined is 51 years then avg. age will increase by 2