Question

The difference of two numbers is 18. If the two numbers increase by 4, then one number is 4 times larger than the other. What are those numbers?

Answer 1

`-26` and `-8`

Explanation:

First equation:
`x-y=18`

Second equation:
`4(x+4)=y+4`
`y=4x+6`

Substitute the second equation into the first one:
`x-(4x+6)=18`
`x=-8`

Solve for `y`:
`y=4(-8)+6`
`y =-26`