The sum of three consecutive integers is 51. The middle

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Let us assume the 3 consecutive numbers are x, x + 1 and x + 2.
According to question,
∴ x + x + 1 + x + 2 = 51
⇒ 3x + 3 = 51
⇒ 3x = 51 – 3 = 48

⇒ x =	48	= 16
	3

⇒ Middle number = 16 + 1= 17