Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:
[tex](x)*(x+2)=99\\[/tex]
Now all we gotta do is solve for x:
[tex]x^2 +2x = 99\\x^2+2x-99=0[/tex]
Now we use either splitting the middle term or quadratic formula:
[tex]x^2+11x-9x+99=0\\x(x+11)-9(x+11)=0\\(x+11)(x-9)=0[/tex]
Now we split each terma and solve for x:
[tex](x-9)=0\\x=9\\(x+11)=0\\x=-11[/tex]
Now the question states positive so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11
