AMC 10 2021a Problem 3

The sum of two natural numbers is $17{,}402$. One of the two numbers is divisible by $10$. If the units digit of that number is erased, the other number is obtained. What is the difference of these two numbers? $\textbf{(A)} ~10{,}272 \textbf{(B)} ~11{,}700 \textbf{(C)} ~13{,}362 \textbf{(D)} ~14{,}238 \textbf{(E)} ~15{,}426$