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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 38 years.
The average age of 29 students in a class is 26 years
Total age of 29 students in a class = 26 × 29 = 754 years
If the age of the teacher is also included, the average age of the class becomes 26.4 years.
Total age of 29 students and teacher in a class = 26.4(29 + 1)
⇒ 26.4 × 30 = 792 years
Age of the teacher = 792 - 754 = 38 years