Consecutive integers mean one after the other and their difference would one more or less.
Let the numbers be x, x +1, x +2.
Therefore x + (x+1) + (x +2) = 567
3x + 3 = 567
3x = 567 -3 = 564
3x = 564 Divide by 3.
x = 564/3
x = 188
Therefore integers x, x +1, x +2 = 188, 188+1, 188+2.
= 188, 189, 190.
Cheers.