Difference between revisions of "2013 AIME II Problems/Problem 1"
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Revision as of 17:16, 4 April 2013
Suppose that the measurement of time during the day is converted to the metric system so that each day has metric hours, and each metric hour has
metric minutes. Digital clocks would then be produced that would read
just before midnight,
at midnight,
at the former
AM, and
at the former
PM. After the conversion, a person who wanted to wake up at the equivalent of the former
AM would set his new digital alarm clock for
, where
,
, and
are digits. Find
.