The average age of 30 students of a class is 30 years. When the average age of class teacher is also included, the average age of the whole class increases by 1 year. The age of the class teacher is:Options69 years 71 years 61 years 66 years
Question
The average age of 30 students of a class is 30 years. When the average age of class teacher is also included, the average age of the whole class increases by 1 year. The age of the class teacher is:Options69 years 71 years 61 years 66 years
Solution
The total age of 30 students is 30*30 = 900 years.
When the teacher is included, the average age increases by 1 year. So, the average age of the class including the teacher is 31 years.
This average is for 31 people (30 students + 1 teacher), so the total age of these 31 people is 31*31 = 961 years.
The teacher's age is therefore 961 (total age including teacher) - 900 (total age of students only) = 61 years.
So, the age of the teacher is 61 years.
Similar Questions
The average age of 30 students is 9 years. If the age of their teacher is included, it becomes 10 years. The age of the teacher (in years) is:Options :27313540
The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new students is:Options :15.2 years16 years16.2 years16.4 years
The average age of 30 students of a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. What is the average age of the remaining students? Options : 8 years 10 years 12 years 14 years
The average age of a class of 59 students and their teacher is 22 years and 4 months. If the average age of the class falls by four months when the teacher is excluded, what is the age (in years) of the teacher?
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 :514947none
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.