Question

The mean age of a class is 16 years . If the class teacher aged 40 years old is also included,

the mean age increases to 17 years. The number of students in the class are:

Answer 1

Answer:

The total number of students is 23

Step-by-step explanation:

Let there are x students in the class

=> combine age of all the students = 16x

After adding the teachers age combine age of all = 16x + 40

Total strength now = x + 1

Hence new mean = (16x + 40)/(x+1) = 17

=> 16x + 40 = 17x + 17

=> x = 23

Hence the total number of students is 23.

Answer 2

Thanks for the question!

It is definitely a very interesting question to solve and do some brainstorming.

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Let us consider that there are x students in the class

=> So, total age of all the students = 16x

After adding the teachers age, the total age of all the people = 16x + 40

Total no of people now = x + 1

So, new mean = (16x + 40)/(x+1) = 17

Upon solving, we get

=> 16x + 40 = 17x + 17

=> x = 23

The total number of students is 23.

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Hope it helps and solves your query!!