# Lovely Equation

Algebra Level 4

If sum of all the values of $$x$$ satisfying $\Large 4\{x\}=x+\left\lfloor x \right\rfloor$ is $$\dfrac{m}{n}$$. Find $$\large (m+n)$$

Details

• $$\big\{x\}$$ is fractional part function.

• $$\left\lfloor x \right\rfloor$$ is greatest integer function or floor function

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