Question

the sum of two consecutive integers is -211 find the integers

Answer 1

let one interger be x
then the other = x +1 ( since the intergers are consecutive)
x + x + 1 =-211
2x +1 = - 211

on adding -1 from both sides we get
2x = -212

and on dividing the equation wth 2 we get
x = - 106

and the other = - 105

Answer 2

Let's call one integer a and the other b. b will be the larger of the two, so b=a+1.

You know that a+b=-211. Substitute a+1 in for b...

a+a+1=-211, which can be simplified:
2a+1=-211, and then it's basic algebra.

2a+1-1=-211-1
2a=-212
a=-106

b=a+1
b=-106+1
b=-105

Let's verify that. Does a+b=-211?

a+b=-211
-106+-105=-211
-211=-211

So your answer is -106 and -105.

Answer 3

-211/2 =-105.5
-105 and -106