The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years? Options : 51 49 47 none
Question
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
Options : 51 49 47 none
Solution
To solve this problem, we first need to find the total age of all the students. We do this by multiplying the average age by the number of students.
So, 14 years (average age) * 36 students = 504 years (total age of students)
Next, we know that when the teacher's age is included, the average age increases by one to 15 years. This average is for 37 people (36 students + 1 teacher).
So, 15 years (new average age) * 37 people = 555 years (new total age)
The difference between the new total age and the old total age is the teacher's age.
So, 555 years (new total age) - 504 years (old total age) = 51 years
Therefore, the teacher's age is 51 years. So, the correct option is 51.
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