###
**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**

## Show Answer

Solution(By Apex Team)

$\begin{aligned}&\text{According to the question,}\\
&\frac{x+y}{2}-\frac{y+z}{2}=12\\
&\Rightarrow\ x+y-y-z=24\\
&\Rightarrow\ x-z=24\end{aligned}$

## Related Questions On Average

### Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

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C. 28

D. 32

### Find the average of all the numbers between 6 and 34 which are divisible by 5.

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### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = cB. a : b : c = 3 : 2 : 4

C. 4a = 5b = c

D. a + b + c = 12