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?
Question
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?
Solution
Sure, let's solve this step by step:
- The total age of 30 students is 30 * 12 = 360 years.
- The total age of the first group of 5 students is 5 * 10 = 50 years.
- The total age of the second group of 5 students is 5 * 14 = 70 years.
- The total age of the first two groups of students is 50 + 70 = 120 years.
- Subtract the total age of the first two groups from the total age of all the students to find the total age of the remaining students: 360 - 120 = 240 years.
- The number of remaining students is 30 - 5 - 5 = 20 students.
- Divide the total age of the remaining students by the number of remaining students to find their average age: 240 / 20 = 12 years.
So, the average age of the remaining students is 12 years.
Similar Questions
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
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 30 boys in a class is 15 years. if we include the age of two teachers, the average age increases by 1. Find the sum of ages of the two teachers. (10 Points)55 years58 years62 years64 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
In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class?Options13.512.5113.4213.53
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.