The average age of 29 students in a class is 26 years If the age of the teacher is also included the...........

Quantitative Aptitude (MTS) Average

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?

This questions was previously asked in

SSC MTS 21st July 2022 Shift-1

36 years

38 years

42 years

32 years

To find the teacher's age, consider the following steps:

- First, calculate the total age of the 29 students: \(29 \times 26 = 754\) years.

- Adding the teacher makes the count 30, with an average age of 26.4 years.

- The total age of the class, including the teacher, is: \(30 \times 26.4 = 792\) years.

- Calculate the teacher's age by subtracting the students' total age from this: \(792 - 754 = 38\) years.

So the correct Answer is: 38 years.

- Option 1 (36 years) and Option 4 (32 years) do not satisfy the total when calculated with the given average.

- Option 3 (42 years) results in a higher total than required.

Submit Error