Question

The average age of 32 students is 10 years. If the teachers age is also e Increases by Wha included, the average age increases by one year. What is the age of the teacher?​

Answer 1

Answer:

43 year

Step-by-step explanation:

Average = sum/number *of quantities

Here,

=> 10 = (sum of 32 students)/32

=> 10 x 32 = sum of 32 students

=> 320 = sum of 32 students ...(1)

Let the age of teacher be 't'.

Now, average increases by 1. So, new average is 10+1 = 11.

Number of ages = 32+1=33

Therefore,

=> 11 = (age of 32 students+teacher)/33

=> 11 x 33 = (320 + t) {using (1)}

=> 363 = 320 + t

=> 43 = t

Hence, age of the teacher is 43 year

Answer 2

Answer:

43 years

Step-by-step explanation:

The average age of 32 students is 10 years.  If the teachers age is also included, the average age increases by one year

To Find :

What is the age of the teacher?

Solution:

$average=\frac{sum of observations}{total no. of observations}$

The average age of 32 students is 10 years.

$10=\frac{Sum of age of 32 students}{32}$

320 = Sum of age of 32 students

So,  

Let x be the age of teacher

New sum = 320+x

New mean = 10 + 1 = 11 years  

$11 = \frac{320 + x}{33}$

11 X 33 = 320 + x

363 - 320 = x

So,  x = 43

Hence The age of teacher is 43 years