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Seven thieves are to distribute a number of coins between themselves. They find that it splits equally, but being astute mathematicians, they realize that if there were 2, 3, 4, 5, or 6 thieves to split coins among, there would always be one coin left over. How many coins are there?

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  • $\begingroup$ English is not my mother tongue, but this is damn hard to understand. Would you mind to paraphrase it? $\endgroup$ – Wa Kai Sep 22 '15 at 15:16
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The answer is

301

The math is below:

301/7 = 43
301/6 = 50 + 1/6
301/5 = 60 + 1/5
301/4 = 75 + 1/4
301/3 = 100 + 1/3
301/2 = 150 + 1/2

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