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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]

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