If the difference between the average of x, y and y, z is 12, then the difference between x and z is :

A. 6

B. 48

C. 24

D. 12

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \Rightarrow \frac{{x + y}}{2} - \frac{{y + z}}{2} = 12 \cr & \Rightarrow x + y - y - z = 24 \cr & \Rightarrow x - z = 24 \cr} $$