Three consecutive integers add up to 51. What are these integers?

Let the three consecutive integers be x,x+1 and x+2.
According to the question, x+x+1+x+2=51
⇒ 3x+3=51
⇒ 3x+3-3=51-3 [Subtracting 3 from both sides]
⇒ 3x=48
⇒ 3x/3=48/3 Dividing both sides by 3]
⇒ x=16
Hence, first integer = 16, second integer = 16 + 1 = 17 and third integer = 16 + 2 = 18.

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