Question

A class has 24 students. The average age of these students is 12 years4

months. If the age of their class teacher is also included, then average age is 3 years I month. Find the age of teacher.​

Answer 1

Answer:

35

Step by Step Explanation:

Method 1:

Formula: Average = (sum of observations) ÷ number of observations.

Given: number of students=24, and

Average of students =10.

Sum of all the 24 students= 24×10=240,

When the teacher age is added then the new sum becomes 240+x (let ‘x' be the age of teacher).

Number of observations = 24+1=25.

New average = 10+1=11.

So, by the formula

(240+x)÷25 = 11

240+x= 25×11

240+x= 275

x=275–240

x=35.

Teachers age is 35 years.

Method 2:

Let us assume teachers age to be 10 even, then the average of all the students along with teacher wouldn't have changed and it would have remained 10 only.

But it is increased by 1.

So, teachers age= 10+ (1×25). {25= number of students 24+1 that of teacher}

Teachers age=10+25=35.

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