Question 29
Let $N=\overline{abcd}$ be a 4-digit perfect square that satisfies $\overline{ab}=3\cdot\overline{cd}+1$. Find the sum of all possible values of $N$.
(The notation $n=\overline{ab}$ means that $n$ is a 2-digit number and its value is given by $n=10a+b$.)
(The notation $n=\overline{ab}$ means that $n$ is a 2-digit number and its value is given by $n=10a+b$.)