Answer:
The integers are 23, 25, 27
Step-by-step explanation:
the sum of three consecutive odd integers
[tex]S = x + (x+2) + (x + 4)\\[/tex]
17 less than four the smallest integer
[tex]S = 4x-17[/tex]
Now set them equal and solve
[tex]4x-17 = 3x + 6\\x = 23[/tex]