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15
2012 preRMO p15, [x/5] =[x/7], with floor function
2012 preRMO p15, [x/5] =[x/7], with floor function
Source:
June 17, 2019
algebra
floor function
function
Problem Statement
How many non-negative integral values of
x
x
x
satisfy the equation
⌊
x
5
⌋
=
⌊
x
7
⌋
\lfloor \frac{x}{5}\rfloor = \lfloor \frac{x}{7}\rfloor
⌊
5
x
⌋
=
⌊
7
x
⌋
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