hmmm assuming you meant "is 18 less than the larger number".
let's say the numbers are "a" and "b".
a = smaller number
b = larger number
a = b - 18
[tex]\bf \begin{cases}
a+b=62\\
\boxed{a}=b-18\\
----------\\
\left( \boxed{b-18} \right)+b=62
\end{cases}
\\\\\\
2b-18=62\implies 2b=80\implies b=\cfrac{80}{2}\implies b=40[/tex]
what's a? well, a = b - 18.