# Again with this!! I need a sum of 2 numbers that equals 20 and they both have a difference of 48, can you please help me? Also, i can't seem to understand this so could you kinda help with that also?

May 25, 2018

The numbers are $34$ and $- 14$.

#### Explanation:

Assume the two numbers are $x$ and $y$.

$x + y = 20$

Rearrange to get:

$x = 20 - y$

Then use the second equation:

$x - y = 48$

Rearrange to get:

$x = 48 + y$

Then sub them into each other to get the formula:

$20 - y = 48 + y$

Solve:

$2 y = - 28$

$y = - 14$

Go back to your first rearranged equation and plug $y$ in.

$x = 20 - \left(- 14\right)$

$x = 34$

Therefore, $x$ and $y$ are $34$ and $- 14$, respectively.