Let's set up some equations.
Our first number is going to be [tex]a[/tex] and the other will be [tex]b[/tex].
[tex]4\times a=b[/tex]
[tex]b-a=24[/tex]
We can substitute [tex]b[/tex] for [tex]4\times a[/tex] in the second equation to end up with
[tex]4\times a-a=24[/tex]
[tex]4a[/tex] minus [tex]a[/tex] is going to be [tex]3a[/tex].
[tex]3a=24[/tex]
[tex]\boxed{a=8}[/tex]
And since [tex]a=8[/tex], [tex]b=4\times a=4\times 8=\boxed{32}[/tex]
