Replace each letter by a positive rational number such that the following is true. Do it for rationals that can be written in the same denominator that is as small as possible.

O + N + E          =  1
T + W + O          =  2
T + H + R + E + E  =  3
F + O + U + R      =  4
F + I + V + E      =  5
S + I + X          =  6

Denominator = 7.
Minimum possible total of the 13 numerators = 113.
O, N, E, H, and F have the same value in every "insidious" solution.

Posted by Ethan on 2005-12-30 02:22:26