# If the sum of a positive number and two negative numbers is -12 what are the numbers?

Aug 24, 2017

One possible solution would be $\left\{- 6 , - 7 , + 1\right\}$

#### Explanation:

There are infinitely many possible solutions.

Pick any two negative numbers whose sum is less than $\left(- 12\right)$. [That is the absolute value of their sum must be greater that $12$].

Subtract their sum from $\left(- 12\right)$ to get the required positive number.

Here is another example;
if we pick $- 237$ and $- 106$ their sum is $- 343$ (which is less that $- 12$)
Subtract this from $- 12$ to get the required positive number:
$\textcolor{w h i t e}{\text{XXX}} - 12 - \left(- 343\right) = - 12 + 343 = 331$

$\left(- 237\right) + \left(- 106\right) + \left(+ 331\right) = - 12$