Solve this crossnumber puzzle:
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H |
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I |
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J |
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M |
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N |
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O |
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P |
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Q |
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S |
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T |
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U |
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V |
W |
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X |
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Y |
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D*V = 2009 N + T + U = 2009
F2 – C = 2009 O – L3 = 2009
G + H = 2009 P – O = 2009
I / X = 2009 3Q – A = 2009
J/2 – Z/3 = 2009 R2 – B = 2009
K – E = 2009 Y2 + 2N – W = 2009
M + S/4 = 2009
No number begins with zero.
Note: This nice and ingenious puzzle (look at the symmetry of the grid) and some similar ones are © copyrighted but his author has granted permission for its use.
His site (with many interesting puzzles) I´ll mention in the official solution.
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Submitted by pcbouhid
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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The site where this and other nice puzzles can be found is plutopuzzles. Its owner is Chris Bolton, and there´s a similar made for the past year (2008).
I started with D*V = 2009, (D, V) = (41, 49) or (49, 41). If (D, V) = (41, 49), X would be, at least 90 and then, since I/X = 2009, I >= 90 * 2009 = 180.180. But I has only 5 digits, so this hypothesis is wrong and thus (D, V) = (49, 41).
After this start, the numbers I found in this order: F & C, then G and H; X & I; R & B; O, Q, A & L; P; J; Z; S; M; T; Y, N, U & W, and finally K & E, filling a "couple" of pages. The numbers are:
A = 241 B = 1472 C = 295 D = 49
E = 91293 F = 48 G = 89 H = 1920
I = 24108 J = 5922 K = 93302 L = 25
M = 263 N = 359 O = 17634 P = 19643
Q = 750 R = 59 S = 6984 T = 402
U = 1248 V = 41 W = 825 X = 12
Y = 46 Z = 2856 |