Question

One number is four times another number,and the difference is 24. find the numbers.

Answer 1

Let's set up some equations.
Our first number is going to be
`a` and the other will be
`b`.


`4* a=b`


`b-a=24`

We can substitute
`b` for
`4* a` in the second equation to end up with


`4* a-a=24`


`4a` minus
`a` is going to be
`3a`.


`3a=24`


`\boxed{a=8}`

And since
`a=8`,
`b=4* a=4* 8=\boxed{32}`