Problem #WSP-5623

Problems Numeral systems Number Theory

Problem

On a distant planet called Hexaris, there live two alien species: the Blipnors and the Quantoodles.

The chief alien writes on a board: “There are \(100\) aliens on this planet. Of these, \(24\) are Blipnors and \(32\) are Quantoodles.”

At first this seems confusing — the numbers do not seem to add up! Then you remember that the aliens use a different base for their numeral system.

What base are they using?