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Logic

# Cryptogram Warmup

$\Large \begin{array} {c c c } & 3 & \color{orange}{X} \\ + & & 7 \\ \hline & 4 & 1 \\ \end{array}$

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

$\Large \begin{array} {c c c } & 2 & \color{blue}{A} \\ \times & & 4 \\ \hline & 9 & 6 \\ \end{array}$

What digit in place of $$\color{blue}{A}$$ would make this multiplication true?

$\Large \begin{array} {c c c } & 1 & \color{blue}{E} \\ \times & & \color{blue}{E} \\ \hline & 9 & \color{blue}{E} \\ \end{array}$

What digit in place of $$\color{blue}{E}$$ would make this multiplication true?

$\Large \begin{array} {c c c } & & \color{green}{C} \\ + & \color{green}{C} & \color{green}{C} \\ \hline & \color{purple}{D} & 4 \\ \end{array}$

In this cryptogram, $$\color{green}{C}$$ and $$\color{purple}{D}$$ represent two different digits. What is the value of $$\color{green}{C}$$?

$\Large \begin{array} { c c c } & 1 & \color{orange}{B} \\ + & \color{orange}{B} & 6 \\ \hline & 7 & 1 \\ \end{array}$

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

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