USAMO 1993 Problem 1

$\mathrm{n}>1$, and $\mathrm{a}$ and $\mathrm{b}$ are positive real numbers such that $\mathrm{a}^{\mathrm{n}}-\mathrm{a}-1=0$ and $\mathrm{b}^{2 \mathrm{n}}-\mathrm{b}-3 \mathrm{a}=0$. Which is larger?