Question 80

The average age of 27 students of a class is 22. If the age of the teacher is also added to their ages, then the average increases by one. Find the age of the teacher.

Solution

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Average age of 27 students = 22

Total sum of the age of 27 students = $$27\times\ 22=594$$

Let the age of teacher be x years

According to the question,

$$\frac{594+x}{28}=22+1$$

$$594+x=644$$

x=50 years

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