The average of four consecutive even numbers is 9. Find

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The average of four consecutive even numbers is 9. Find the largest number.

1. 12
2. 6
3. 8
4. 10

Correct Option: A

Let four consecutive even numbers are :
y , y + 2 , y + 4 , y + 6
Sum = y + y + 2 + y + 4 + y + 6
The average of four consecutive even numbers = 9
y + y + 2 + y + 4 + y + 6 = 9 × 4
⇒ 4y + 12 = 36
⇒ 4y = 36 – 12 = 24

∴ y =	24	= 6
	4

∴ Largest number = y + 6 = 6 + 6 = 12