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

VOICES+NOISES=SWEDEN

then what is

97R5148456 ?

No software, please….

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

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Solution Timely p&p conclusion | Comment 2 of 3 |
Since we have Sweden, the title is something like MALMO 24.
(I solved this with software, but a non computer solve was also completed below).

97R5148456 is EUROVISION
And Eurovision 2024 begins today:
May 7, 2024
Location: Malmö

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)

V in {1,2,3}
Suppose case:  SN = 62
a0111
VO4C96
2O4696
-------
6W9D92
C>2 and 1+C+6=10+D; D = C-3;
the largest D can be is 8, so CD in {30,52,63,85}
and if SN = 62, there are only two choices for CD: {30,85} 

OW could be {24,36,48,50,62,74,86,98} but 4&9 are known so half are elimintated:  {36,50,62,86}  and if SN = 62, there is only one choice for OW: 50
CD: {30,85}  and OW: 50  contradiction, so SN is not 62.

Therefore  SN = 86

a0111
VO4C98    V is {1,2}
6O4898    1+C+8 = 10+D; D=C-1; C,D are not 4,6,8,9
-------   CD can be {10,21,32}
8W9D96    OW can only be {50}
          CD cannot be 10 since W=0
          CD cannot be 21 since V is {1,2}
So CD is 32 and V is 1


154398 
654898 
------
809296

The key word is EUROVISION

  Posted by Larry on 2024-05-07 18:39:03
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