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