MathDB
2013 preRMO p7, Akbar and Birbal together have n marbles

Source:

August 8, 2019
algebraminimum

Problem Statement

Let Akbar and Birbal together have nn marbles, where n>0n > 0. 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 nn for which the above statements are true?