The average age of 39 students and a teacher of a Class are 11 years. If the age of teacher is excluded the average age of class is reduced by 1. What is the age of teacher?
Answers
your solution is in the attachment.
#kevin
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The age of the teacher is 50 years.
Given: The average age of 39 students and a teacher of a Class are 11 years. If the age of the teacher is excluded the average age of the class is reduced by 1.
To Find: The age of the teacher.
Solution:
It is said that the average age of 39 students and a teacher of a Class are 11 years.
So, total number of people = 39 + 1 = 40
And total age of 40 people = 40 × 11
= 440 years
Now, it is said that if the age of the teacher is excluded the average age of the class is reduced by 1.
So, total number of people = 40 - 1 = 39
The new average age = 11 - 1 = 10
So, the total age of 39 students = 39 × 10
= 390 years
∴ the age of the teacher = ( 440 - 390 ) years
= 50 years
Hence, the age of the teacher is 50 years.
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