Three Fractions
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.
Source: Nob Yoshigahara, c/o Scot Morris in OMNI, April 1994.
Used as Ken's POTD 4/14/94.
Solution:
There is only one answer: 5/34 + 7/68 + 9/12 = 1.
Solvers (that I know about):
Becky Fabie-Albert
Eric Tunison
Ed Wirtz
Denis Borris
Bill Chapp
Denis Borris also solved the problem with the assumption that the
denominators were actually the product of two single-digit numbers:
1/(3*6) + 5/(8*9) + 7/(2*4) = 1
I do not know if this is a unique solution for this interpretation.
Mail to Ken