Determine an 8digit 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.
(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 20060228 17:55:03 