AMC 12 2024a Problem 3

The number $2024$ is written as the sum of not necessarily distinct two-digit numbers. What is the least number of two-digit numbers needed to write this sum?

$\textbf{(A) }20 \textbf{(B) }21 \textbf{(C) }22 \textbf{(D) }23 \textbf{(E) }24$