Logic

Cryptograms

Cryptogram Warmup

         

3X+741 \Large \begin{array} {c c c } & 3 & \color{#EC7300}{X} \\ + & & 7 \\ \hline & 4 & 1 \\ \end{array}

What digit in place of X\color{#EC7300}{X} would make the above summation true?

2A×496 \Large \begin{array} {c c c } & 2 & \color{#3D99F6}{A} \\ \times & & 4 \\ \hline & 9 & 6 \\ \end{array}

What digit in place of A\color{#3D99F6}{A} would make this multiplication true?

1E×E9E\Large \begin{array} {c c c } & 1 & \color{#3D99F6}{E} \\ \times & & \color{#3D99F6}{E} \\ \hline & 9 & \color{#3D99F6}{E} \\ \end{array}

What digit in place of E\color{#3D99F6}{E} would make this multiplication true?

C+CCD4 \Large \begin{array} {c c c } & & \color{#20A900}{C} \\ + & \color{#20A900}{C} & \color{#20A900}{C} \\ \hline & \color{#69047E}{D} & 4 \\ \end{array}

In this cryptogram, C\color{#20A900}{C} and D\color{#69047E}{D} represent two different digits. What is the value of C \color{#20A900}{C} ?

1B+B671 \Large \begin{array} { c c c } & 1 & \color{#EC7300}{B} \\ + & \color{#EC7300}{B} & 6 \\ \hline & 7 & 1 \\ \end{array}

What digit in place of B\color{#EC7300}{B} would make this sum true?

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