Difference between revisions of "1967 IMO Problems/Problem 6"

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medals were awarded. How many days did the contest last, and how many
 
medals were awarded. How many days did the contest last, and how many
 
medals were awarded altogether?
 
medals were awarded altogether?
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==[Solution]==
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{{Solution}}

Revision as of 01:05, 15 February 2018

In a sports contest, there were m medals awarded on n successive days (n > 1). On the first day, one medal and 1/7 of the remaining m - 1 medals were awarded. On the second day, two medals and 1/7 of the now remaining medals were awarded; and so on. On the n-th and last day, the remaining n medals were awarded. How many days did the contest last, and how many medals were awarded altogether?

[Solution]

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