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| Grid and Equal Subgrids (Posted on 2009-08-14) |
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Substitute each of the capital letters in bold in this 3x3 grid by a different digit from 1 to 9 such that the sum of digits in each of the four 2x2 subgrids is equal to 9*E.
A B C
D E F
G H I
What will be the arrangement(s) (disregarding reflections and rotations), if keeping all the other conditions unchanged, the sum of digits in each of the four 2x2 subgrids is equal to 7*E?
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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There are two possible arrangements (disregarding the rotations/reflections) for the first part.
Disregarding the rotations/reflections, there is only one possible arrangement corresponding to the second part.
For an explanation, refer to the solution submitted by Charlie in this location.
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