Answer:
13, 15, 17
Step-by-step explanation:
If we let the smallest of these odd integers be "x"
then the next one is "x + 2"
and next one is "x + 4"
We can write an equation from the word problem:
x + x+2 + x + 4 = 2x + 19
let's find x, the smallest, and then find the other 2:
[tex]x + x+2 + x + 4 = 2x + 19\\3x+6=2x+19\\x=19-6\\x=13[/tex]
The next one is 15, and next one is 17
The three consecutive odd integers are 13, 15, 17
