Question

Question #6c321

Answer 1

`{-25, -23}`

Explanation:

Any odd integer can be represented as `2n+1`, where `n` is an integer. Suppose `2n+1` is the lesser of the consecutive odd integers, then we have

`-48 = (2n+1) + (2n+1)+2`

`=4n+4`

`=4(n+1)`

`=> n+1 = -48/4 = -12`

`=> n = -13`

Thus, substituting in, we have the consecutive odd integers as

`2n+1 = 2(-13)+1 = -25`
and
`(2n+1)+2 = -25+2 = -23`

Checking, `-25 + -23 = -48`, as desired.