Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
[tex]x *(x+2)=35[/tex]
Expanding, you get:
[tex]x^{2}+2x = 35.[/tex]
And moving the 35 to the other side, you get a simple quadratic.
[tex]x^{2}+2x -35 =0.[/tex]
Solving by factoring:
[tex](x+7)(x-5)[/tex]
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
