If

** EARTH+MARS=SUNSET**and

**
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**