the sum of two consecutive integers is -271. Find the larger integer.

Question

 I just need to know how to break it down and solve it.

Answer 1

Two consecutive integers are x and x+1:

     x + x+1 = -271

     2x + 1 = -271

     2x = -272

     x = -136

 

The other integer is x+1 = -136 + 1 = -135.  Which one is larger?