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⌊x10⌋+⌊x20⌋+⌊x30⌋=11x60 \large\left \lfloor \dfrac x{10} \right \rfloor + \left \lfloor \dfrac x{20} \right \rfloor + \left \lfloor \dfrac x{30} \right \rfloor = \dfrac{11x}{60} ⌊10x⌋+⌊20x⌋+⌊30x⌋=6011x
Find the number of solutions of xxx in the interval 0<x<10000<x<10000<x<1000 satisfying the equation above.
Notation: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function.
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