Question

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 1

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`