Can you please answer this question 1

Since, the average age of a class of 35 students is 14 years.

 

Thus, the total sum of the age of students = 35 × 14 = 490,

 

Now, after increasing the average age by one years,

 

New average age of the class ( included teacher ) = 14 + 1 = 15 years,

 

While the number of persons = 35 students + 1 teacher

 

= 36 persons,

 

Thus, the total sum of the age of class ( included teacher ) = 15 × 36 = 540.

 

Hence, the age of teacher = Total sum of the age of class ( included teacher )  - Total sum of the ages of students

 

= 540 - 490

 

= 50 years.

Regards..!