Question 573808
Let's let X be the first (smallest) of these integers.  Then the next consecutive integer is (X+1), the next is (X+2).  


We are told the sum of these 3 is -15 so 
(X) + (X+1) + (X+2) = -15  Start solving!:
X + X + 1 + X + 2 = -15  combining like terms:
3X + 3 = -15   subtract 3 from each side
3X = -18   divide by 3 on each side
X = -6


The 3 numbers are -6, -5, -4.


Checking:
 -6 + -5 + -4 = -15?
-15 = -15  Correct!