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3x3 Grid Alphamagic (Posted on 2009-09-17) |
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Substitute each of the capital letters by a different digit from 0 to 9, such that each of the columns, each of the rows and each of the two main diagonals of this 3x3 grid have the common sum LRK. It is known that L is nonzero and, none of the numbers in the nine cells contains a leading zero.
CL RO OR
EK HS AA
KE KB SH
Note: LRK is equal to 100*L + 10*R + K.
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Submitted by K Sengupta
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Rating: 3.0000 (1 votes)
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Solution:
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(Hide)
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The 3x3 grid as completed is given by:
31 76 67
94 58 22
49 40 85
The common sum LRK= 174
Substituting the digits 0123456789 (in this order) for the corresponding letters, and allowing for due punctuation, we get: BLACK HORSE.
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.
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