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A Digital Permutation Problem (Posted on 2006-02-28) Difficulty: 3 of 5
Determine an 8-digit number of the form ABCDEFGH where each of the letters denote a distinct digit from 1 to 8 such that:

ABCDEFGH/ HABCDEFG = 3/14 , and

GHABCDEF/ EFGHABCD = 23/29.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (4 votes)

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re: Solution - I'll spare you | Comment 2 of 3 |
(In reply to Solution by tomarken)

So let ABCDEFG = x then 10x + H / (10^7)H + x = 3/14 or:

140x + 14H = 3x10^7H +3x or

29999986H = 137x or 218978H = x

X is a seven digit positive integer and H is less than 9. H=8 fails, but H=7 gives x=1532846.

ABCDEFGH = 15328467 also gives 67153284/84671532 = 23/29


  Posted by Eric on 2006-02-28 17:55:03
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