Question

The average age of 23 students is 35 yrs. If a teacher enters the class , the average age of
the class is increased by 4 months. Find the age of the teacher?

Answer 1

❏ Question

The average age of 23 students is 35 yrs. If a teacher enters the class , the average age of the class is increased by 4 months. Find the age of the teacher ?

❏ Solution

Given:-

• average age of 24 students = 35 years
• the average age of the class is increased by 4 months

Find:-

• Find the age of the teacher ?

❏ Explanation

Age of the teacher = Sum of age of 24 students and teacher - Sum of age of 24 students .

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we Know

➥ 1 years = 12 months

➥ 35 years = 12 × 35 months

➥ 35 years = 420 months

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➥Age of teacher = 25 × (420+4)-24×420

➥Age of teacher = 25 × 424 - 24 × 420

➥Age of teacher = 10,600 - 10,080

➥Age of teacher = 520 months

Or,

➥Age of teacher = 520/12 years

➥Age of teacher = 43 years 4 months .

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Thus:-

• Age of teacher = 43 years 4 months

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Answer 2

Answer:

43 years

Step-by-step explanation:

Given :

Average age of 23 students is 35 years.

Let the sum of ages of 23 students be "x".

x/23 = 35

x = 35 * 23

x = 805

When a teacher enters the class the average age

increases by 4 months i.e., 4/12 years = 1/3 years.

Now , let the age of teacher be "y".

(805+y)/23+1 = 35 + 1/3

(805 + y)/24 = 105+1/3

(805 + y ) /24 = 106/3

After cross multiplication we get ,

3(805 + y ) = 24*106

805+y = 2544/3

805 + y = 848

y = 848 - 805

y = 43 years.

Therefore, the age of teacher is 43 years.