Let the first odd integer be x. Since they are consecutive, the next odd integer, which is also the larger integer must be (x+2).
The sum of these two is said to be a total of -72.
Therefore,
x + (x+2) = -72
2x = -72 - 2
2x = -74
x = -37
The two consecutive odd integers are -37 and -35, with -35 being the larger integer.
