2020 MOAA Theme Optimization TO 3
Source:
January 23, 2022
number theorytheme2020
Problem Statement
Consider the addition \begin{tabular}{cccc}
& O & N & E \\
+ & T & W & O \\
\hline
F & O & U & R \\
\end{tabular} where different letters represent different nonzero digits.
What is the smallest possible value of the four-digit number ?