###
**The sum of three consecutive even numbers is 28 more than the average of these three number. Then the smallest of these number is –**

A. 6
B. 16
C. 12
D. 14
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

Let consecutive even number x, x + 2, x + 4
$\begin{array}{l}\text{According to the question,}\\
\text{(x + x + 2 + x + 4) – }\frac{\left(\text{x + x + 2 + x + 4}\right)}{3}\\
\begin{array}{l}\left[\Large\frac{3(3x+6)-(3x+6)}{3}\right]=28\\
2(3x+6)=28\times3\\
3x+6=42\\
3x=36\\
x=12\\
\text{ So, smallest number }=\mathrm{x}=12\end{array}\end{array}$

## 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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### 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.

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C. 4a = 5b = c

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