2021 Spring LMT Division A Problem 25, B Problem 26
Source:
January 22, 2022
number theory
Problem Statement
Chandler the Octopus is making a concoction to create the perfect ink. He adds grams of melanin, grams of enzymes, and grams of polysaccharides. But Chandler accidentally added n grams of an extra ingredient to the concoction, Chemical , to create glue. Given that Chemical contains none of the three aforementioned ingredients, and the percentages of melanin, enzymes, and polysaccharides in the final concoction are all integers, find the sum of all possible positive integer values of .Proposed by Taiki Aiba