Question

there are 8 teachers in a school .when a 35 year old teacher was transfered and another teacher joined,the average age was increased 2 year .how old is t e new teacher?

Answer 1

Average = (Total Quantity)/ Number of quantity

So,

Let the average age of teachers be x

Let y be the age of teacher that joined

So,

Total age of 8 teachers when 35 year old one did not leave was,

=8x

When 35 year old leave and new one joined then,

Total sum of ages

= 8x -35 + y

Now,

The average of this increased by 2

SO,

(8x -35 + y)/8 = x + 2

8x -35 + y = 8x +16

-35 + y = 16

y = 35 +16

y=51

So,

A 51 year old teacher joined the school

Answer 2

Given that there are 8 teachers in a school. The average age was increased by 2 years.

= > Increased in age = 8 * 2

                                   = 16 years.

Therefore the age of new teacher = 35 + 16

                                                           = 51 years.

Hope this helps!