The sum of two consecutive odd integer is -72 what is the larger integer

Since it's the sum of 2 things, we know that you're going to add them to get -72. We also know that they'll both be negative. Consecutive means one after another -- in this case, that means an odd number plus the next odd number. How do we find an odd number from another odd number? You add 2 (example: 1 + 2 = 3, and 3 is the next odd number after 1). Since we can't be certain of the number, we'll have to use the variable x. So here's what we know:
x           +                 (x+2)             =              -72.
|                                |                                    |
First #                  Second odd #                Total

Wait a second, doesn't that look like an equation? x+(x+2)=-72. Now we can just solve like a normal equation!

x+(x+2)=-72
2x+2=-72
      -2   -2
2x=-74
x=-37.
Now, we need to find which one is the larger number, because that's what the problem asks us. 

-37-39=-76. So we know that it's not -39.
-37-35=-72. This is correct, and which is the larger integer? -37. There's your answer!

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