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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 =Â Eq.(ii)- Eq.(i)
=Â (792-754)Â years
=Â 38Â years
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