Question

Question #f0fc4

Answer 1

`-75,-73,-71`

Explanation:

Let `x` be the smallest integer of the three. Since odd integers are two numbers away from the previous one, the other two integers can be represented as `x+2` and `x+4`.

Now, if the three integers add up to `-219`, we can create an equation (the sum of the three soon-to-be-solved integers):

`x+(x+2)+(x+4) = -219`

Then, combine like terms and solve.

`x+x+2+x+4 = -219`
`3x+2+4 = -219`
`3x+6 = -219`
`3x = -225`
`x = -75`

Now we know that the smallest integer of the three odd integers is `-75`. Now we can add `2` and `4` to `-75` to get our two other integers.

`-75+2 = -73`
`-75+4 = -71`

The three consecutive odd integers that add to `-219` are `-75,-73,-71`