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Nostra culpa (Posted on 2010-09-03) Difficulty: 2 of 5
WE + ARE +VERY = SORRY
For what value(s) of Y there is only one solution?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

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solution | Comment 1 of 5

I assume the usual (though unstated) provisions that each letter stands for a different integer (0..9), and that none of the four "words" starts with zero.

There are two numbers for which a single solution:

for Y=2 -- 65 + 735 + 9532 = 10332

for Y=3 -- 75 + 625 + 9523 = 10223

For two other values of Y there are two solutions each:

for Y=4 -- 75 + 625 + 9524 = 10224

for Y=4 -- 65 + 735 + 9534 = 10334

for Y=8 -- 75 + 625 + 9528 = 10228

for y=8 -- 65 + 735 + 9538 = 10338.

 

  + 1


  Posted by ed bottemiller on 2010-09-03 14:23:19
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