MathDB

There are two types of items in Alik's collection: badges and bracelets and there are more badges than bracelets. Alik noticed that if he increases the number of bracelets some (not necessarily integer) number of times without changing the number of icons, then in its collection will be

100

items. And if, on the contrary, he increases the initial number of badges by the same number of times, leaving the same number of bracelets, then he will have

101

items. How many badges and how many bracelets could there be in Alik's collection?

Problem Statement