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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

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?

Options : 8 years 10 years 12 years 14 years

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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 of 5 students we know about. Finally, we divide by the number of remaining students to find their average age.

  1. The total age of all the students is 30 students * 12 years/student = 360 years.
  2. The total age of the first group of 5 students is 5 students * 10 years/student = 50 years.
  3. The total age of the second group of 5 students is 5 students * 14 years/student = 70 years.
  4. Subtract the total age of the two known groups from the total age of all the students: 360 years - 50 years - 70 years = 240 years.
  5. The number of remaining students is 30 students - 5 students - 5 students = 20 students.
  6. The average age of the remaining students is the total age of the remaining students divided by the number of remaining students: 240 years / 20 students = 12 years.

So, the average age of the remaining students is 12 years.

This problem has been solved

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