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Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2013 India PRMO
7
7
Part of
2013 India PRMO
Problems
(1)
2013 preRMO p7, Akbar and Birbal together have n marbles
Source:
8/8/2019
Let Akbar and Birbal together have
n
n
n
marbles, where
n
>
0
n > 0
n
>
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
n
n
n
for which the above statements are true?
algebra
minimum