The sum of two consecutive integers is -15.If 1 is added to the smaller integer and 2 is subtracted from the larger integer, what is the product of the two resulting integers?

63

Explanation:
Start by finding the integers. We know that;
x+1=y & x+y=-15
to solve this we create
2x=-15-1
2x=-16
x=-8

from this we know that
-8+1=y
-7=y

now we know the integers are -7 & -8.

finally,
(-8+1)(-7-2)=?
-7x-9=63

therefore the answer is 63.

Hope this helps :)