Question

Question #5baad

Answer 1

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.