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 years10 years12 years14 years

To solve this problem, we first need to find the total age of all the students. We do this by multiplying the average age by the total number of students.

So, the total age of all the students is 30 students * 12 years = 360 years.

Next, we find the total age of the two groups of 5 students. The first group has an average age of 10 years, so their total age is 5 students * 10 years = 50 years. The second group has an average age of 14 years, so their total age is 5 students * 14 years = 70 years.

We add these two totals together to get the total age of the 10 students in the two groups, which is 50 years + 70 years = 120 years.

We then subtract this total from the total age of all the students to find the total age of the remaining students. This is 360 years - 120 years = 240 years.

Finally, we find the average age of the remaining students by dividing their total age by the number of remaining students. There are 30 students - 10 students = 20 remaining students.

So, the average age of the remaining students is 240 years / 20 students = 12 years.

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