Question 13
Given are two positive integers $a$ and $b$ with the property that
$$
\frac{b^3}{a^4} \quad \text{and} \quad \frac{a^3}{b^2}
$$
are both integers greater than $1$.
What is the smallest possible value for the sum $a + b$?
$$
\frac{b^3}{a^4} \quad \text{and} \quad \frac{a^3}{b^2}
$$
are both integers greater than $1$.
What is the smallest possible value for the sum $a + b$?