Sample Puzzle
Find the 6-digit number ABCDEF by solving the following equations:
eq.1) A + B + C + D + E + F = 29
eq.2) E – D = C
eq.3) F – A = C
eq.4) D + F = A + B + C
eq.5) B – C + D = F – E
eq.6) F = B × D
eq.2) E – D = C
eq.3) F – A = C
eq.4) D + F = A + B + C
eq.5) B – C + D = F – E
eq.6) F = B × D
A, B, C, D, E, and F each represent a one-digit non-negative integer.
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