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The average age of a class of 40 students and a teacher reduces by 0.5 years, if we exclude the teacher. If the initial average age is 18 years, then
Question

The average age of a class of 40 students and a teacher reduces by 0.5 years, if we exclude the teacher. If the initial average age is 18 years, then what is the age of the teacher?

A.

38 years

B.

40 years

C.

39 years

D.

41 years

Correct option is A


Sum of age of 40 students and teacher = 41 × 18 = 738
Sum of age of 40 students =
40× (18-0.5) = 40×17.5=700
Age of teacher
= 738 – 700 = 38

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