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Product Crossed Pointed Ratio Puzzle (Posted on 2022-07-27) Difficulty: 3 of 5
n is a positive integer base from 2 to 36 inclusively.
Each of α and β is a nonzero digit of base n from 1 to n-1 inclusively.

Determine all possible triplets (α, β, n) such that:
(α*β)base n
-----------  is a positive integer.
(α.β)base n 
### For example, in base ten corresponding to (α, β) = (4, 5), we observe that:
(4*5)/(4.5) = 40/9, which is NOT a positive integer.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectK Sengupta2022-08-02 09:50:44
re(2): computer solution - 3 other solutionsCharlie2022-07-28 16:34:23
Questionre: computer solution - 3 other solutionsLarry2022-07-28 07:41:48
SolutionAn answer to the puzzleMath Man2022-07-27 20:38:53
re: computer solution formatting improvedCharlie2022-07-27 18:16:35
Solutioncomputer solutionCharlie2022-07-27 11:51:44
SolutionSolutionLarry2022-07-27 10:17:21
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