An algebra problem by Vatsalya Tandon
Algebra
Level
4
\[ \large\left \lfloor \dfrac x{10} \right \rfloor + \left \lfloor \dfrac x{20} \right \rfloor + \left \lfloor \dfrac x{30} \right \rfloor = \dfrac{11x}{60} \]
Find the number of solutions of \(x\) in the interval \(0<x<1000\) satisfying the equation above.
Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.
by
Vatsalya Tandon