The average age of 30 students of a class is 22 years. The average age of a group of 6 of the students is 12 years and that of another group of 8 of them is 18 years. What is the average age of the remaining students? Options :384342412
Question
The average age of 30 students of a class is 22 years. The average age of a group of 6 of the students is 12 years and that of another group of 8 of them is 18 years. What is the average age of the remaining students? Options :384342412
Solution
To solve this problem, we need to first find the total age of all the students, then subtract the total age of the two groups we know about. Finally, we divide by the number of remaining students to find their average age.
- The total age of all the students is 30 students * 22 years = 660 years.
- The total age of the first group is 6 students * 12 years = 72 years.
- The total age of the second group is 8 students * 18 years = 144 years.
- Subtract the total age of the first and second groups from the total age of all the students: 660 years - 72 years - 144 years = 444 years.
- The number of remaining students is 30 students - 6 students - 8 students = 16 students.
- The average age of the remaining students is 444 years / 16 students = 27.75 years.
So, the average age of the remaining students is 27.75 years. This option is not given in the question. There might be a mistake in the question or the options provided.
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