Question #5baad

1 Answer
Feb 28, 2018

It is not possible.

Explanation:

As they are both odd integers, each can be written as 2x+1, where x is an integer.
Let the smaller odd integer be 2x+1.
Then the larger odd integer will be 2(x+1)+1=2x+3.

(2x+1)+(2x+3)=-166
4x+4=-166
4x=170
2x=85, which shows that x is not an integer.

Hence, contradiction occurs and there is no such pair of odd integers.

Note:
Assume that the smaller integer be y.
y+(y+2)=-166
2y=-168
y=-84
Hence, the two consecutive EVEN integers are -84 and -82.