let's say the numbers are "a" and "b"
so.. hmmm let's say "b" is the bigger one.... so is "4 more than" "a" then
thus b = a + 4
we know their product is 480, thus a*b or ab = 480
thus [tex]\bf \begin{cases}
\boxed{b}=a+4\\
ab=480\\
----------\\
a\left( \boxed{a+4} \right)=480
\end{cases}[/tex]
solve for "a"
what's b? well, b = a + 4