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

Let 3 consecutive integers be x, x+1, x+2
Sum of 3 numbers = x + x + 1 + x + 2 = 3x + 3
3x + 3 = 51, Transport 3 to RHS
3x = 48
Divide both sides by 3
3x/3 = 48/3
=> x = 16
=> x + 1 = 16 + 1 = 17
=> x + 2 = 16 + 2 = 18
Integers are 16, 17, 18