Question

The average age of a class of 59 students is 18 years the age of the teacher is included, then the average increases by 3 months, the age of the teacher is

Answer 1

Answer:

33 years.

Step-by-step explanation:

We know that Average = Sum of all observations/Number of observations.

Given,

Average age = 18 years.

Number of students = 59.

So total of ages of 59 students = 18 * 59 = 1062.

Now when teacher is included, the average age increases by 3 months = 3/12 years = 0.25 years

Hence new average age = 18.25.

Total  number = 59 + 1 = 60.

Total of ages of 59 students and 1 teacher = 60 * 18.25 = 1095.

Thus the age of teacher = 1095 - 1062 = 33 years.