Question

There are 10 teachers in a school. When a 34 year old teacher was transferred and another teacher joined the average age was increased by 2 years. How old is the new teacher ?

Best answer will mark as BRAINLIEST​

Answer 1

Answer:

The age of new teacher is 54 years.

Step-by-step explanation:

Given :

There are 10 teachers in a school. When a 34 year old teacher was transferred and another teacher joined the average age was increased by 2 years.

To find :

the age of new teacher

Solution :

Let the sum of ages of fixed teachers be 'x' years.

Let the average age of 10 teachers before transfer be 'a'.

We know,

Average = Sum of observations/number of observations

a = (x + 34)/10

10a = x + 34

Let the age of new teacher be y years.

New average = a + 2

So,

(a + 2) = (y + x)/10

10(a + 2) = y + x

10a + 20 = y + x

x + 34 + 20 = y + x

y = 54

Therefore, the age of new teacher is 54 years.