the average age of a class of 40 students is 18 years. When the teachers age is included to calculate the average age becomes 19 years.What is the age of the teacher ?
Answers
No. of students× average age found out
40×18=720
As per question, the teacher's age when added to the total age of the 40 students and divided by the number of people, the average age becomes 19.
So the age of all of them together:
No. of people× average age found out
41×19=779
So it's observed that if one person is added, the total age of the class becomes 779 from 729.
So the age of the teacher=
Age of the class when the teacher was added -Age of the class when teacher wasn't added=
779-729= 50
Therefore the age of the teacher is 50 yrs.
Answer:
So the average age of 40 students is 18 years. Average is only found, when the ages are added and the sum is divided by the total number of students. So the total age of students has to be:
No. of students× average age found out
40×18=720
As per question, the teacher's age when added to the total age of the 40 students and divided by the number of people, the average age becomes 19.
So the age of all of them together:
No. of people× average age found out
41×19=779
So it's observed that if one person is added, the total age of the class becomes 779 from 729.
So the age of the teacher=
Age of the class when the teacher was added -Age of the class when teacher wasn't added=
779-729= 50
Therefore the age of the teacher is 50 yrs.
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