Question

Three consecutive odd integers add up to -3​

Answer 1

The investors are: -3, -1 and 1

Explanation:

Given

Three consecutive odd numbers

`Sum = -3`

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

`Sum = x + x + 2 + x +4`

`Sum = 3x +6`

`3x +6 = -3`

Collect Like Terms

`3x = -3-6`

`3x = -9`

`x=-3`

The other two are:

`x + 2 = -3 + 2 = -1`

`x + 4 = -3 + 4 = 1`

Hence, the investors are: -3, -1 and 1