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subtractiOn (Posted on 2002-12-19) Difficulty: 2 of 5
If
    E = (F – I + R)
    F = (N * O)
    H = (F + X)
    I = (N + O)
    N = 3
    0 = 2
    R = (N – O)
    T = (X + Y)
    U = (O + O)
    W = (Y + R)
when does
     (T+H+I+R+T+E+E+N)-(T+H+R+E+E)
     ----------------------------- = (T+W+0)  ?
          (N+I+N+E)-(F+O+U+R) 
(All Os ARE the letter Os, not zeros)

See The Solution Submitted by cges    
Rating: 3.4000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution A first crack | Comment 1 of 7
Assume that every letter stands for exactly one number, and that the arithmetic operations work the way they're expected to. Then doing some substitutions, we get:
F = 3 * 2 = 6
I = 3 + 2 = 5
R = 3 - 2 = 1
E = 6 - 5 + 1 = 2
U = 2 + 2 = 4
H = 6 + X
T = X + Y
W = 1 + Y

Substituting into just the denominator, we get
(N+I+N+E)-(F+O+U+R) = (3+5+3+2)-(6+2+4+1) = 13 - 13 = 0

Since this leads to a division by zero, I'd be tempted to say no.
  Posted by friedlinguini on 2002-12-19 03:15:22
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