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
Question
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
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 of the students by the number of students.
So, 30 students * 9 years = 270 years
Next, we find the total age of all the students plus the teacher. We do this by multiplying the new average age (which includes the teacher) by the new total number of people (students + teacher).
So, 31 people * 10 years = 310 years
Finally, we subtract the total age of just the students from the total age of the students plus the teacher. This gives us the teacher's age.
So, 310 years - 270 years = 40 years
Therefore, the teacher is 40 years old.
Similar Questions
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
The average age of 10 students and their teacher is 15 years.The average age of the first seven students is 15 yr and that of the last three is 11 yr.What is the teacher's age?33 years30 years27 years24 yearsClear ResponseSave & Next
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
The average age of 35 students of a class is 23 years. When 10 new students are admitted, the average is decreased by 0.5 years. The average age of new students is:Options20.2520.520.7520
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
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.