Consecutive odd integers are odd integers that have a difference of 2
The consecutive integers are -17, -15 and -13
How to determine the integers
Let the integers be x, y and z (from least to greatest)
So, we have:
[tex]3z =x + y - 7[/tex]
Also, we have:
[tex]y = x + 2[/tex]
[tex]z = x + 4[/tex]
So, we have:
[tex]3z =x + y - 7[/tex]
[tex]3(x + 4) = x + x + 2 - 7[/tex]
Open the bracket
[tex]3x + 12 = x + x + 2 - 7[/tex]
Collect like terms
[tex]3x -x -x = 2 - 7-12[/tex]
[tex]x = -17[/tex]
Hence, the consecutive integers are -17, -15 and -13
Read more about consecutive numbers at:
https://brainly.com/question/10853762
