###
**The sum of the three consecutive even numbers is 44 more than the average of these numbers. Which of the following is the third largest of these numbers?
**

A. 16
B. 18
C. 24
D. Cannot be determined
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

$\begin{aligned}&\text{Let the numbers be x, x + 2 and x + 4}\\
&\text{Then,}\\
&\Rightarrow(x+x+2+x+4)-\frac{(x+x+2+x+4)}{3}=44\\
&\Rightarrow(3 x+6)-\frac{(3 x+6)}{3}=44\\
&\Rightarrow 2(3 x+6)=132\\
&\Rightarrow 6 x=120\\
&\Rightarrow \mathrm{x}=20\\
&\therefore \text { Largest number }=x+4=24
\end{aligned}$

## 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:

A. 20B. 21

C. 28

D. 32

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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

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