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Discussion: All Topics in Algebra on Computer
Topic: An interesting math puzzle


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Subject:   An interesting math puzzle
Author: Teng
Date: Apr 25 2011
An interesting math puzzle:
(a~i) each represents a one-digit number(1~9),
and each alphabet mutually different from others
please solve the following interesting puzzle
(c/ab) +(f/de) +(i/gh) =1
Here it is my solution:
1=(1/2)+(1/2)---------(1)
 =(2/3)+(1/3)---------(2)
 =(3/4)+(1/4)---------(3)
Using (3) we get
1=(3/4)+(1/4)=(9/12)+(17/68)
 =(9/12)+(10+7)/68
 =(9/12)+(5/34)+(7/68)
I have designed a program to testify this is the only solution
If anyone have found another solution please tell me

Albert.Teng from Taiwan

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