Question

the average age of 50 students of a class is 13.5 years the average age along with their teacher is 14 years what is the age of their teacher​

Answer 1

Answer:

25 year

Step-by-step explanation:

1. total age of only student is 675
2. total age of students together with teacher is 700
3. age of teacher is 700-675 equals to 25 years

Answer 2

The age of teacher is 39 years.

Explanation:

Formula for Average : $\text{Average}=\dfrac{\text{Sum of observations}}{\text{Total observations}}$  (1)

here , Sum of observations= Average x (Total observations)

Given : The average age of 50 students of a class is 13.5.

Substitute Total observations =50  and Average = 13.5 in formula , we get

Sum of ages of 50 students= 13.5 x (50)=675

When the age of teacher is also combined , then the total people = 50+1=51

Sum of ages = Sum of ages of 50 students+ x , where x= Age of teacher.

Since , the average age along with their teacher is 14 years  , then using (1)we have

$14=\dfrac{675+x}{51}\\\\\Rightarrow\ 675+x= 51\times14=714\\\\\Rightarrow\ x=714-675=39$

Hence, the age of teacher is 39 years.

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