Question 53

The average age of 29 students in a class is 26 years. If the age of the teacher is also included, the average age of the class becomes 26.4 years. Find the age of the teacher?

Solution

The average age of 29 students in a class is 26 years.

total age of 29 students in a class = $$26\times29$$ = 754 years    Eq.(i)

If the age of the teacher is also included, the average age of the class becomes 26.4 years.

total age of 29 students and teacher in a class = $$26.4\times(29+1)$$

= $$26.4\times30$$

= 792 years   Eq.(ii)

Age of the teacher =  Eq.(ii)- Eq.(i)

= (792-754) years

= 38 years


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