Question 59

The average age of 24 students in a class is 15.5 years. The age of their teacher is 28 years more than the average of all twenty five. What is the age of the teacher in years?

Solution

Average age of 24 students in the class = 15.5 years

=> Total age of 24 students = $$24\times15.5=372$$ years

Let age of teacher = $$x$$ years and average age of all 25 = $$\frac{372+x}{25}$$

According to ques, => $$x=28+\frac{372+x}{25}$$

=> $$25x-x=700+372$$

=> $$x=\frac{1072}{24}=\frac{134}{3}$$

Thus, age of teacher = $$44\frac{2}{3}$$ years

=> Ans - (C)

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