We have two consecutive odd integers. Let's call the smallest number as n. The difference between two odd numbers is 2, therefore, the next odd number after n will be n + 2. If we sum those numbers, the result is - 72, then, we have the following equation
[tex]n+(n+2)=-72[/tex]Solving for n, we have
[tex]\begin{gathered} n+(n+2)=-72 \\ n+n+2=-72 \\ 2n+2=-72 \\ 2n=-72-2 \\ 2n=-74 \\ n=-\frac{74}{2} \\ n=-37 \end{gathered}[/tex]The smaller number is - 37. The consecutive number is - 35.
[tex]-37+2=-35[/tex]Our numbers are - 37 and - 35.
