The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increased by 3 months, then age of teacher isA 25 years B 35 years C 30 years D 40 years
Question
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increased by 3 months, then age of teacher isA 25 years B 35 years C 30 years D 40 years
Solution
To solve this problem, we need to follow these steps:
- Convert the average age increase to years. 3 months is 0.25 years.
- Calculate the total age of the 39 students before the teacher is included. This is done by multiplying the average age by the number of students: 15 years * 39 students = 585 years.
- Calculate the new average age when the teacher is included. This is the old average age plus the increase: 15 years + 0.25 years = 15.25 years.
- Calculate the total age of all 40 individuals (39 students + 1 teacher) using the new average age. This is done by multiplying the new average age by the number of individuals: 15.25 years * 40 individuals = 610 years.
- Subtract the total age of the students from the total age of all individuals to find the age of the teacher: 610 years - 585 years = 25 years.
So, the teacher is 25 years old. The answer is A.
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