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M2AL4MO (Posted on 2024-05-07) Difficulty: 2 of 5
If

VOICES+NOISES=SWEDEN

then what is

97R5148456 ?

No software, pleaseā€¦.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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Some Thoughts Early p&p progress | Comment 1 of 3
Since we have Sweden, the title is something like MALMO 24.
(I solved this with software and therefore know what 97R5148456 means, but I'm attempting a non computer solve).

Call the individual carries over VOICE as abcde.
abcde
VOICES
NOISES
--------
SWEDEN

V,N,S are not zero
From 1st column, S>N
Since ES + ES ends with EN, either E=0 and carry e=0, or E=9 and carry e=1.

case E=0:  SN = {12, 24, 36, 48}  but S>N so E=0 is out
case E=9:  SN = {62, 74, 86}

E=9,  carry e and carry d are both 1
Since I + I + carry c = E = 9,  carry c = 1 and I = 4 (9 is taken)

E=9, I=4, SN = {62, 86}  carries c,d,e = 1  carry b = 0,  W is even
W can be {0, 2, 6, 8}  (one of S or N must be 6)

a0111
VO4C9S
NO4S9S
--------
SW9D9N

Again looking at 1st column, we know S-N is either 2 or 4.
So aV can be {02, 11, 13}  (4 is taken)


  Posted by Larry on 2024-05-07 14:50:42
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