Henry Ernest Dudeney/Modern Puzzles/11 - The Perplexed Banker/Solution

by : $11$

 * The Perplexed Banker

Solution
For $n = 1$ to $9$, put $2^{n - 1}$ sovereigns in bag $n$.

Put the remaining $489$ in bag $10$.

Proof
A thinly-disguised implementation of the Basis Representation Theorem for binary.