Question

the average age of 24 students and the class teacher is 16 years.if the age of the class teacher is excluded,the average age reduces by i year.the age of class teacher in years is

Answer 1

sum of ages=25*16=400
sum of ages of 24 students=4*15=360
age of teacher=400-360

Answer 2

Answer:

$Age \:of \:the \:teacher =40$

Step-by-step explanation:

Given the average age of 24 students and the class teacher is 16 years.

Let age of the teacher = x

Sum of ages of 24 students and teacher = 25 × 16 = 400

If age of the teacher excluded ,

Number of students = 24

sum of the the ages of 24 students = 400-x

$New \: average =16-1$ $\implies \frac{400-x}{24} = 15$

$\implies 400-x = 24\times 15$

$\implies -x = 360 - 400$

$\implies -x = -40$

$\implies x = 40$

Therefore,

$Age \:of \:the \:teacher = x=40$

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