Question

The sum of two numbers is-1 and their difference is -9 what are the two numbers

Answer 1

The two numbers are -5 and 4.

Explanation:

Let the two numbers be 'x' and 'y'.

Given:

The sum of the two numbers is -1 and their difference is -9.

As per question:

`x+y=-1\\\\x-y=-9`

Adding both the equations, we get:

`x+y+x-y=-1-9\\\\x+x+y-y=-10\\\\2x+0=-10\\\\2x=-10\\\\x=(-10)/(2)\\\\x=-5`

Now, we got
`x=-5`

Plug in the value of 'x' in the first equation. This gives,

`x+y=-1\\\\-5+y=-1\\\\y=-1+5\\\\y=5-1......(\textrm{Using commutative property})\\\\y=4`

Therefore, the two numbers are -5 and 4.