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Marble Muse (Posted on 2014-06-23) Difficulty: 3 of 5
At the outset, each of the five friends Ade, Ben, Cal, Dan and Ethan had a positive integer number of marbles.

If Ade gave one-half of his marbles to Ben, and Ben gave a one third of what he then held to Cal, and Cal gave a quarter of what he then held to Dan, and Dan gave one fifth of what he then held to Ethan who then passes on a sixth of his holding to Ade - they would all have an equal number of marbles.

What is the minimum number of marbles that each of the five friends had at the beginning?

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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  Subject Author Date
Solutionre: Analytical Solution (spoiler)Steve Herman2014-06-23 23:21:54
SolutionAnalytical Solution (spoiler)Steve Herman2014-06-23 17:58:02
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