Gif 1

Algebra Level 5

\[ \large \left \lfloor x \right \rfloor + \left \lfloor 5x \right \rfloor + \left \lfloor 10x \right \rfloor + \left \lfloor 20x \right \rfloor = 36 k + 35 \]

For constant integer \(k\), find the sum of all real solutions of \(x\) that satisfy the equation above.