Answer: 16, 17, and 18.
Step-by-step explanation: What I'll do I'll just let explain how to solve it and that will instantly solve your question!
The first case of business to make things easier would be to try and put this on a linear equation so...
Let the first integer be x.
Then the next consecutive two integers will be x + 1 and x + 2
x + (x + 1) + (x + 2) = 51 [Sum of the 3 consecutive integers is 51]
-> 3x + 3 = 51
-> 3x = 51 - 3
-> 3x = 48
-> x = 48/3
-> x = 16,
Thus, x + 1 = 17, x + 2 = 18
Therefore, the three consecutive integers are 16, 17, and 18.
Hope it helps ^^