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The mean age group of some students is 15years. When the ...

The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become 18 years. Find the number of students in the group. 

A.

7

B.

9

C.

15

D.

42

Correct answer is B

x xN

15 = xN

x = 15N........(i)

y = yNy=x+45N+1

181=15N+45N+1 

18(N + 1) = 15N + 45

18N + 18 = 15N + 45

18N - 15N = 45 - 18 

3N = 27 

N = 273 

= 9