To solve this problem, we need to solve an equation.
Let's start by defining our variables.
Let X = smaller integer
Let X+1 = Larger integer.
So, the sum of the two integers is -67
So,
[tex]X+(X+1)=-67\\2x+1=-67\\2x=-68\\x=-34[/tex]
So, the smaller integer is -34, and the larger integer is -33