The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Question

asked Mar 15, 2022 67.0k views

1 Answer

Workwise · Answer 1 · 2022-03-20T12:24:02+0000

Answer:
-6,13

Explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

$\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}$

$\Rightarrow 2x=14\\\Rightarrow x=7$

$\therefore y=13$

Therefore, the numbers are
$-6,\ \text{and}\ 13$