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
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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