Are you looking for correct answer of If the average of 6 consecutive even number is 25 the…? Here we have shared detailed answer with explanations.

### 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 **

Here is complete explanation of If the average of 6 consecutive even number is 25 the….

__Solution(By ExamCraze Team)__

According to the question,

Sum of 6 consecutive even number is = 25 × 6 = 150

Sn = $$frac{n}{2}$$ [2a +(n - 1) × d]

⇒ 150 = $$frac{6}{2}$$ [2a + (6 - 1) × 2]

⇒ 150 = $$frac{6}{2}$$ (2a + 10)

⇒ 300 = 12a + 60

⇒ 12 a = 240

⇒ a = $$frac{240}{12}$$

⇒ a = 20

∴ 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