Question 1042874
{{{x+(x+1)=-81}}} for the specified sum. assuming x is an integer, ignoring the second condition of the product.


{{{2x+1=-81}}}

{{{2x=-82}}}

{{{x=-41}}}

The two integers must be  -41 and -40.
The CONSECUTIVE NEGATIVE INTEGERS.


Their product is  1640.  The other condition, that  {{{x(x+1)=1634}}} will not agree with the described sum condition.