How many solutions does the equation: $$[\frac{x}{20}]=[\frac{x}{17}]$$have over the set of positve integers? $[a]$ denotes the largest integer that is less than or equal to $a$. Proposed by Karl Czakler
Source: 48th Austrian Mathematical Olympiad Beginners' Competition
Tags: algebra
How many solutions does the equation: $$[\frac{x}{20}]=[\frac{x}{17}]$$have over the set of positve integers? $[a]$ denotes the largest integer that is less than or equal to $a$. Proposed by Karl Czakler