Question 16
The four-digit whole number $\overline{abcd}$ is a perfect square. The two-digit whole numbers $\overline{pq}$ and $\overline{rs}$ are formed by adding 17 to $\overline{ab}$ and $\overline{cd}$ respectively. If the four-digit whole number $\overline{pqrs}$ is a perfect square, find the sum of the two perfect squares $\overline{abcd}$ and $\overline{pqrs}$.