2014 BMT Team 3
Source:
January 6, 2022
number theory
Problem Statement
Together, Abe and Bob have less than or equal to \100$. When Corey asks them how much money they have, Abe says that the reciprocal of his money added to Bob’s money is thirteen times as much as the sum of Abe’s money and the reciprocal of Bob’s money. If Abe and Bob both have integer amounts of money, how many possible values are there for Abe’s money?