Very Very Scary!

Logic Level 2

V E R Y + V E R Y S C A R Y \begin{array}{ccccc} & & & V & E &R&Y\\ + & & & V& E &R& Y \\ \hline & & S & C& A &R &Y\\ \hline \end{array}

Jon and Ron are discussing about the cryptogram above:

Ron: Each letter represents a distinct non-negative integer. Jon, Let's try to solve for S C A R Y \overline{SCARY}

Jon: Yeah, let's do it!.

Ron: I think it has only one solution. Jon, what do you think?

Jon: There are no solutions.

Who is correct?

Both of them Jon Neither of them Ron

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1 solution

Francis Kong
Nov 9, 2017

Given R Y + R Y R Y m o d 100 \overline{RY} + \overline{RY} \equiv \overline{RY} \mod 100 , the only possibly is R = Y = 0 R=Y=0 which contradicts R Y R \neq Y and thus there are no solutions that will be consistent with the statement "Each letter represents a distinct non-negative integer."

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