# WhaT are 2 consecutive odd numbers that have the product of 12,099?

##### 2 Answers

I found:

or

#### Explanation:

Consider the condition for your two consecutive odd numbers:

rearranging:

Using the Quadratic Formla you should get:

So you have in

or

I got the same answer as Gio (of course), but set it up a little differently.

#### Explanation:

When asked to find odd (or even) numbers, it is often a good idea to use

In a problem like this, I like to simply get an equation, find all solution and then pick out the odd (or even) solutions if there are any.

I notice that

Of course consecutive odd numbers are exactly

let's call our numbers

We want

So solve

So the numbers are:

and