Question : 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.
Option 1: 36 years
Option 2: 38 years
Option 3: 42 years
Option 4: 32 years
Correct Answer: 38 years
Solution :
The average age of 29 students = 26 years
Sum of the ages of 29 students = 26 × 29 = 754
The average age of 29 students and a teacher = 26.4 years
Sum of the ages of 29 students and 1 teacher = 26.4 × 30 = 792
The age of the teacher = 792 – 754 = 38
Hence, the correct answer is 38 years.
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