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Concatenated 3-digit integers Crossed Ratio Puzzle (Posted on 2023-08-01) Difficulty: 3 of 5
Determine the total number of concatenated 3-digit positive integers of the form ABC, such that each of their nonzero digits A, B, and C satisfies this relationship:
           .     .     .         
  ___    0.A + 0.B + 0.C
0.ABC = ------------------
.     ---
    0.ABC = 0.ABCABCABC.......
0.A = 0.AAAA.......
Computer program/excel solver solutions are welcome- but a semi-analytic (p&p with a hand-calculator) methodology is preferred.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytic SolutionBrian Smith2023-08-01 09:40:47
Solutioncomputer solutionCharlie2023-08-01 08:41:30
SolutionSemi-analytic, confirmed by a programLarry2023-08-01 06:36:26
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