Question

There are 8 teachers in a school. When a 35 year old teacher 4. was transferred and another teacher joined, the average age WS increased by 2 years. How old is the new teacher?​

Answer 1

Step-by-step explanation:

Then avg age = A/8. the average age was increased by 2 years means whosoever has come is of greater age than who has left. Increment in total age = 8 x 2 = 16. New teacher's age = 35 + 16 = 51.

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Answer 2

Step-by-step explanation:

Answer:-

Given: -

• the total number of teachers are 8.
• the average age WS increased by 2 years.

• 4 teachers are ttransferred and another teacher was joined.

To find:-

• age of the new teacher.

Solution:-

$let \: \: n \: \: be \: \: the \: \: total \: \: age \: \: of \: \\ all \: \: the \: \: teachers$

$then \: \: avg. \: \: age \: = \: \frac{n}{8}$

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

$then \: \: avg. \: \: age \: = \: \frac{(n \: - \: 35 \: + \: x)}{8} \: - - - - (1)$

$also \: \: acc. \: \: to \: \: question$

$avg. \: age \: = \: \frac{n}{8 \: + \: 2} \: - - - - (2)$

$equating \: \: both \: \: the \: \: eq.s$

$we \: \: get$

$x \: = \: 51$

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