Question

The sum of two numbers is 12. The difference of the same numbers is -4. Find the numbers.

Answer 1

The numbers are 4 and 8.

Explanation:

First, you have to form equations for the given informations :

`x + y = 12 - - - (1)`

`x - y = - 4 - - - (2)`

Next, you have to solve the simultaneous equations :

`(1) - (2)`

`2y = 16`

`y = 16 / 2`

`y = 8`

`substitute \: y = 8 \: into \: (1)`

`x + 8 = 12`

`x = 12 - 8`

`x = 4`