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9
Moldova JTST 2019 P9
Moldova JTST 2019 P9
Source: Moldova JTST 2019
April 19, 2019
number theory
Problem Statement
Find all positive real numbers
x
x
x
, that verify
x
+
[
x
3
]
=
[
2
x
3
]
+
[
3
x
5
]
x+\left[\frac{x}{3}\right]=\left[\frac{2x}{3}\right]+\left[\frac{3x}{5}\right]
x
+
[
3
x
]
=
[
3
2
x
]
+
[
5
3
x
]
.
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