###
**If the average of 6 consecutive even number is 25, the difference between the largest and the smallest number is :**

A. 8
B. 10
C. 12
D. 14
**Answer: Option B**

## Show Answer

Solution(By Apex Team)

According to the question,
Sum of 6 consecutive even number is = 25 × 6 = 150
$\begin{array}{l}Sn=\frac{n}{2}[2a+(n-1)\times d]\\
\Rightarrow150=\frac{6}{2}[2a+(6-1)\times2]\\
\Rightarrow150=\frac{6}{2}(2a+10)\\
\Rightarrow300=12a+60\\
\Rightarrow12a=240\\
\Rightarrow a=\frac{240}{12}\\
\Rightarrow a=20\end{array}$
∴ Numbers are 20, 22, 24, 26, 28, 30
Difference between largest and smallest is
= 30 – 20
= 10

**Alternate :**Let the 6 consecutive number is = x, x + 2, x + 4, x + 6, x + 8, x + 10 According to the question, Largest number = Average + (n – 1) = 25 + 5 = 30 Smallest number = Average – (n – 1) = 25 – 5 = 20 Difference between largest and smallest number = 30 – 20 = 10## Related Questions On Average

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