If
EARTH+MARS=SUNSETand
EARTH-MARS=8Z0Z1 How much is Z?
Rem: analytical solution preferred.
a) From the addition, it is pretty clear that S = 1, E = 9, U = 0
b) From the subtraction, then, H = S + 1 = 1 + 1 = 2
c) From the addition, T = H + S = 2 + 1 = 3
d) From the addition, R = E - R = 9 - 3 = 6
e) From the subtraction, Z = 10 + T - R = 10 + 3 - 6 = 7
Final answer, Only solution
Checking
f) From the Subtraction, A = (R - 1) - 0 = (6 - 1) - 0 = 5
g) From the subtraction, M = (A + 10) - Z = 15 - 7 = 8
h) So the remaining digit, N = 4
0123456789 = USHTNARZME
95632 95632
+8561 -8561
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104193 87071
Edited on February 28, 2016, 7:04 pm
Analytic solution (spoiler)
