Solve the given equation by using the integers from 1 to 9 inclusive exactly once each.

a/(b*c)+d/(e*f)+g/(h*i)=1

Note: Obviously this problem is easily susceptible to a brute force approach - however, it would be nice to see some arguments that don't use computer programs!

The solution is as follows:

a =5, b=8, c=9, d=7, e=2, f=4, g=1, h=3, i=6, so that:

5/(8*9) + 7/(2*4) + 1/(3*6)

= 5/72+ 7/8+1/18

Edited on March 28, 2023, 8:12 am

Posted by K Sengupta on 2009-01-23 15:45:03