100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 53

53 of 100: A Gram From Mars

Logic Level 2

MARSMARMA+MGRAM \begin{array} {ccccc} \large & & \color{#69047E}M & \color{#D61F06}A & \color{#20A900}R & \color{#3D99F6}S\\ \large & & & \color{#69047E}M & \color{#D61F06}A & \color{#20A900}R\\ \large & & & & \color{#69047E}M & \color{#D61F06}A\\ \large + & & & & & \color{#69047E}M \\ \hline \large & & \color{#EC7300}G & \color{#20A900}R & \color{#D61F06}A & \color{#69047E}M \end{array}

If each letter represents a different nonzero digit, what must A\color{#D61F06}A be?

Don't forget that when adding 4 digits, you might get a carry digit as large as 3.

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