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Within the Galaxy (Posted on 2016-02-28) Difficulty: 3 of 5
If
EARTH+MARS=SUNSET
and
EARTH-MARS=8Z0Z1

How much is Z?

Rem: analytical solution preferred.

See The Solution Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Analytic solution (spoiler) | Comment 1 of 2
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
   -----     -----
104193  87071

Edited on February 28, 2016, 7:04 pm
  Posted by Steve Herman on 2016-02-28 09:24:01

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