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8
2016 preRMO p8, [x/100 [x/100]]=5
2016 preRMO p8, [x/100 [x/100]]=5
Source:
August 9, 2019
algebra
floor function
Problem Statement
Find the number of integer solutions of
[
x
100
[
x
100
]
]
=
5
\left[\frac{x}{100} \left[\frac{x}{100}\right]\right]= 5
[
100
x
ā
[
100
x
ā
]
]
=
5
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