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.

Answer :

Answer: [tex]-6,13[/tex]

Step-by-step 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

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

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]