Answer:
The first integer is 17, and the second integer is 19
Step-by-step explanation:
Equations
Two consecutive odd integers can be represented as:
x: the first odd integer
x+2: the following odd integer
The condition states that five times the first integer subtracted by three times the second integer results 28:
[tex]5x-3(x+2)=28[/tex]
Operating:
[tex]5x-3x-6=28[/tex]
Adding 6 to both terms:
[tex]5x-3x=28+6[/tex]
Joining like terms:
[tex]2x=34[/tex]
Solving:
[tex]x =34/2=17[/tex]
Thus, the first integer is 17, and the second integer is x+2=19
