Three consecutive odd integers add to −9. what are these integers?

Define x :

Let one of the numbers be x.
1st number = x
2nd number = x + 2
3rd number = x + 4


Construct the equation :

The 3 numbers add up to -9.
x + x + 2 + x + 4 = -9


Solve x :

x + x + 2 + x + 4 = -9
3x + 6 = -9
3x = -9 -6
3x = -15
x = -5


Find the numbers :

1st number = x = -5
2nd number = x + 2 = -5 + 2 = -3
3rd number = x + 4 = -5 + 4 = -1


The 3 numbers are -5, -3, -1