Consecutive odd integers?

[justan4cat]

My problem is this:

The product of two consecutive odd integers is 143. Find all pairs of integers that satisfy this condition.

How do I set up the equation and how would I state the answer? I don't get word problems.

Thanks for your help!

 

[LivingMath]

List of all values in the problem:
-an odd integer (let's call it x since we don't know it's value)
-another odd integer (let's call it y)
-143

So, we have two values we don't know, but we have a relationship between them.

y = x + 2

And we have another relationship that relates all of the values.

xy = 143

substituting gives:

x(x+2) = 143

Solve for x. Remember that only answers with x odd are valid.

 

[justan4cat]

Ok. I solved for X by setting it to zero and factoring. I set each term to zero, and ended up with x=11. Therefore Y=x+2 or 13. Yes the product is 143 and they are both odd.

I appreaciate your help.

 

[BigGlenntheHeavy]

\(\displaystyle There \ are \ two \ pairs \ of \ integers \ that \ satisfy \ the \ equation.\)

\(\displaystyle You \ found \ one \ pair \ (11,13), \ what \ is \ the \ other \ pair?\)

 

[justan4cat]

I got the other pair when I typed the problem into the online classroom and showed the work. The other pair would be -13=x and -11=y.