Question

The average age of a group of students is 16years .if a 66 years old teacher joined thegroup the average increases by 1year the number students group

Answer 1

see this solution and find out your answer

Answer 2

Answer:

The number of students in the group is 49.

Step-by-step explanation:

The average age of a group of students can be obtained by dividing the total age by the number of students.

Assuming the number of students to be x.

Then the total age = Average age * total number of students

                               = 16x

The total age when the teacher is added to the group = 16x + 66

The total number of members in the group becomes (x+1).

Since it is given that the average age increases by 1 year, the average age becomes 17.

Thus,

(16x + 66)/(x+1) = 17

Solving the expression to get the value of x,

(16x + 66) = 17x + 17

17x - 16x = 66-17

x = 49

The number of students in the group is 49.

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