AMC 10 2021b Problem 5

The ages of Jonie's four cousins are distinct single-digit positive integers. Two of the cousins' ages multiplied together give $24$, while the other two multiply to $30$. What is the sum of the ages of Jonie's four cousins? $\textbf{(A)} ~21 \textbf{(B)} ~22 \textbf{(C)} ~23 \textbf{(D)} ~24 \textbf{(E)} ~25$