A/BC + D/EF + G/HI = 1

Each of three fractions has a one-digit numerator and a two-digit denominator. The three fractions together add up to one. Place the nine digits 1-9 into the fractions to make the equation correct.

I was wondering why no one had attempted putting the fractions together with common denominators to create a SOP equation.

AEFHI + BCDHI + BCEFG = BCEFHI

Then I got the equation .. scary.

I wonder if there is a good way to solve this, other than trial-and-error.

Posted by DJ on 2003-06-26 09:29:07