Question 21
How many positive integers $n$ satisfy
$$
\frac{n + 1000}{70} = \lfloor \sqrt{n} \rfloor?
$$
(Recall that $\lfloor x \rfloor$ is the greatest integer not exceeding $x.$)
$$
\frac{n + 1000}{70} = \lfloor \sqrt{n} \rfloor?
$$
(Recall that $\lfloor x \rfloor$ is the greatest integer not exceeding $x.$)