Medium

Let $[x]$ denote the greatest integer not exceeding $x$ and {$x$} $= x - [x]$ If $n$ is a natural number, then the sum of all values of $x$ satisfying the equation $2[x] = x + n${$x$} is

$\dfrac{n(n+2)}{2}$

$\dfrac{3}{2}$

$\dfrac{n(n+1)}{2}$

$n$

✅ Correct Option: 1

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Solution