Enigmatic Code

Programming Enigma Puzzles

Puzzle 73: A division sum. Find the missing digits

From New Scientist #1124, 12th October 1978 [link]

puzzle-73

[puzzle73]

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One response to “Puzzle 73: A division sum. Find the missing digits

  1. Jim Randell 11 May 2017 at 8:34 am

    There’s no text with puzzle, so I assume we are meant to solve it in the usual way.

    There is a blank space at the end of the dividend, so the result is a decimal fraction with 1 decimal place. We consider the equivalent division with the dividend multiplied by 10 and an integer result.

    Here is the run file for using the SubstitutedDivision() solver from the enigma.py library. (Which can be executed directly from the command line, or using enigma.run() in an interactive Python session).

    #!/usr/bin/env python -m enigma -r
    
    # solver to use
    SubstitutedDivision
    
    # digits stand for themselves
    --assign=9,9
    --assign=3,3
    --assign=0,0
    
    # the division sum to solve
    "???9?0 / ?? = ????"
    
    # the intermediate subtraction sums
    "??? - ?? = ?"
    "?9 - ?? = ??"
    "??? - ??? = ?3"
    "?30 - ??? = 0"
    

    Solution: The division sum is 10097 ÷ 46 = 219.5.

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