2013 preRMO p7, Akbar and Birbal together have n marbles
Source:
August 8, 2019
algebraminimum
Problem Statement
Let Akbar and Birbal together have marbles, where .
Akbar says to Birbal, “ If I give you some marbles then you will have twice as many marbles as I will have.”
Birbal says to Akbar, “ If I give you some marbles then you will have thrice as many marbles as I will have.”
What is the minimum possible value of for which the above statements are true?