Question

In a class of 41 students, average age is 14 years. If a teacher joins the class, the average age increases by 1 year. What is the age of the teacher?

Answer 1

Teacher is 15years old

Answer 2

Average = Total age of all persons/number of person

Average age of 12 students = 14 years

Total age of 12 students =14 × 12 = 168 years ...1)

Now, average age of 12 students and a teacher = 15 years

Total age of 12 students and a teacher =15x (12 + 1) = 195 years ...2)

From (2) - (1)

Age of a teacher = 195 - 168 = 27 years

The age of the teacher is 27 years.

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