Portraits of famous scientists hang on a wall
Source: Tuymaada 2008, Junior League, First Day, Problem 1.
July 20, 2008
combinatorics unsolvedcombinatorics
Problem Statement
Portraits of famous scientists hang on a wall. The scientists lived between 1600 and 2008, and none of them lived longer than 80 years. Vasya multiplied the years of birth of these scientists, and Petya multiplied the years of their death. Petya's result is exactly times greater than Vasya's result. What minimum number of portraits can be on the wall?
Author: V. Frank