100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 82

82 of 100: The Last Cryptograms

Algebra Level 1

AAA×BCA0A0A \begin{array} {ccccc} \large & & & \color{#20A900}A & \color{#20A900}A & \color{#20A900}A\\ \large \times & & & & \color{#D61F06}B & \color{#69047E}C \\ \hline \large & \color{#20A900}A & 0 & \color{#20A900}A & 0 & \color{#20A900}A \end{array}

AA+CABD \begin{array} {ccc} \large & & \color{#20A900}A & \color{#20A900}A\\ \large + & & \color{#69047E}C & \color{#20A900}A \\ \hline \large & & \color{#D61F06}B & \color{#3D99F6}D \end{array}

If each letter represents a different nonzero digit, what is A?{\color{#20A900}A}?

Remember that both the multiplication and addition use the same letters!

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