The average of nine consecutive odd numbers is 53. The least

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The average of nine consecutive odd numbers is 53. The least odd number is

1. 22
2. 27
3. 35
4. 45

Correct Option: D

Let nine consecutive odd numbers are -
y , y + 2 , y + 4 , y + 6 , y + 8 , y + 10 , y + 12 , y + 14 , y + 16
y + y + 2 + y + 4 + y + 6 + y + 8 + y + 10 + y + 12 + y + 14 + y + 16 = 9 × 53
⇒ 9y + 72 = 477
⇒ 9y = 477 – 72 = 405

⇒ y =	405	= 45
	9