I have recently started honing my problem-solving skills, starting with number-related puzzles. Cryptarithms have appeared frequently, so I was wondering whether there is some sort of general approach to solving these problems? Such as a sequence of reproducible steps?

I understand that for easier examples, such as "AB + AB + AB = CB" , common sense can be used to recognise simple facts (in this case, B must be 0 or 5). However, for harder examples that involve multiple solutions or higher-digit numbers, I find myself struggling without making any progress.

Guidance on how to approach these problems would be much appreciated.

  • $\begingroup$ What kinds of operations are involved in your cryptarithms? Addition and subtraction only, or also multiplication, division, etc.? $\endgroup$
    – bobble
    Jul 27, 2021 at 14:18
  • 1
    $\begingroup$ My suggestion: click on the alphametic tag and have a look at some of the previously asked alphametic questions. Read the solutions with your question in mind: is there a general approach? What are some strategies that appear frequently? $\endgroup$
    – WhatsUp
    Jul 27, 2021 at 14:26
  • $\begingroup$ @bobble Mainly addition... $\endgroup$
    – stadepalli
    Jul 27, 2021 at 14:33
  • $\begingroup$ For those concerned with topicality, a relevant meta discussion $\endgroup$
    – bobble
    Jul 27, 2021 at 14:37


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