Question

The average age of a class of 35 students is 14 years. if the teacher age is included the average age increase by one year. Find the age of the teacher

Answer 1

I think is 50 years. Have attached the solution.

Answer 2

Answer:

50 years.

Step-by-step explanation:

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.