Question
Show that the Cryptarithm $4\times\overline{\text{AB}}=\overline{\text{CAB}}$ does not have any solution.

Answer

0 is the only unit digit number, which gives the same 0 at the unit digit when multipied by 4. So, the possible value of B is 0.Similarly, for A, 0 is the only possible digit.But then A, B and C will all be 0.And if A, B and C become 0, these numbers cannot be of two-digit or three-digit.
Therefore, both will become a one-digit number.Thus, there is no solution possible.

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