Question 88
Let $a$ and $n$ be positive integers. Prove that
$$
\lfloor \frac{a}{n} \rfloor + \lfloor \frac{a+1}{n} \rfloor + \dots + \lfloor \frac{a+n-1}{n} \rfloor = a.
$$
$$
\lfloor \frac{a}{n} \rfloor + \lfloor \frac{a+1}{n} \rfloor + \dots + \lfloor \frac{a+n-1}{n} \rfloor = a.
$$