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Cryptograms

Cryptograms are puzzles where some (or all) digits are missing from an arithmetic operation. Tinker with different combinations of numbers and letters to unlock the right answer. See more

Level 1

         

\[\Large \begin{array} {c c c } & \color{blue}A & \color{red}B & \color{orange}C \\ \times& & & 8 \\ \hline \color{blue}A & \color{orange}C & \color{orange}C & \color{orange}C \\ \end{array} \]

In the cryptogram above, \(A\), \(B\), and \(C\) are distinct digits. Find the value of \(A+B+C+8.\)

If \( A, B, C,\) and \(D\) are distinct digits, find the maximum possible value of the following sum:

\[ \begin{array} {ccc} & A & B \\ + & C & D \\ \hline \end{array} \]

\[\large{\begin{array}{lllllllll}&&&&&&&1&1&4&X&9\\\times&&&&&&&1&X&8&2&1\\\hline &\ &&1&2&3&4&5&6&7&8&9 \\\hline\end{array}}\]

Above shows an incomplete long multiplication for which X represents a single digit integer. What is the value of X?

Find

\[ \begin{array} { l l l } & & & X & Y & Z \\ & & & X & Y & Z \\ &+ & & X & Y & Z \\ \hline & & & Z & Z & Z \\ \end{array} \]

If \(X, Y,\) and \(Z\) are distinct digits, then what is the value of \(X \times Y \times Z ?\)

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