Answer:
-11, -10, -9
Explanation:
The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.
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I like to work "consecutive integer" problems using the average value of the integers involved. The average of two consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are three consecutive integers, so their average is the middle one.
If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...
(x -1) +(x) + (x+1) = 3x = -30
x = -30/3 = -10 . . . . . the same average we computed above.
x -1 = -11 . . . . . the smaller of the other two integers
x +1 = -9 . . . . . the larger of the other two integers