I'm assuming that each digit (0-9) is intended to replace a letter, but that you can't repeat a digit.
We know that M=1 (a carry).
..SEND
+1ORE
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1ONEY
S will be 8 or 9, so that means O must be zero.
..SEND
+10RE
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10NEY
We won't have a carry from the column before, so S = 9
..9END
+10RE
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10NEY
N = E+1 (from hundred column)
N+R+(possible carry) = 10 + E
E+1+R+(possible carry) = 10 + E
1+R+(possible carry) = 10
R can't be 9, so R = 8 + plus a carry from the units column.
..9END
+108E
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10NEY
So we have 2,3,4,5,6,7 left.
For Y, we need D+E to equal 12, 13, 14, 15, 16 or 17.
We can't make 17, 16, 15 or 14 using the remaining numbers, so the only choices are 6+7 = 13 or 5+7=12.
That means 7 will be used somewhere in the first column. But E can't be 7 or else N would be 8 (and 8 is already used). So D is 7.
..9EN7
+108E
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10NEY
Similarly E can't be 6 now, because 7 is used, so it must be 5.
..95N7
+1085
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105EY
That makes Y = 2
..95N7
+1085
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10N52
And N = 6
In summary:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
Replacing you get a valid equation of:
..9567
+1085
----------
10652
2006-07-13 11:57:44
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answer #1
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answered by Puzzling 7
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19/5/14/4 + 13/15/18/5 = 13/15/14/5/25
substituting each letter from each word with the number that explains its placement in the alphabet. (EX: 1=A, 2=B, 3=C, etc.)
2006-07-13 19:08:33
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answer #3
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answered by Anonymous
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