Question 26
Determine the number of real solutions $a$ to the equation
$$
\left[\frac{1}{2} a\right]+\left[\frac{1}{3} a\right]+\left[\frac{1}{5} a\right]=a
$$
Here, if $x$ is a real number, then $[x]$ denotes the greatest integer that is less than or equal to $x$.
$$
\left[\frac{1}{2} a\right]+\left[\frac{1}{3} a\right]+\left[\frac{1}{5} a\right]=a
$$
Here, if $x$ is a real number, then $[x]$ denotes the greatest integer that is less than or equal to $x$.