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Happy 2009 to you all (Posted on 2009-02-08) Difficulty: 3 of 5
Solve this crossnumber puzzle:

A B C D E
F G
H I J K L
M N
O P
Q R
S T U V W
X
Y Z
      

         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.

  Submitted by pcbouhid    
Rating: 5.0000 (1 votes)
Solution: (Hide)
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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle ThoughtsK Sengupta2023-05-23 11:09:33
Solutioncomputer solutionCharlie2009-02-09 01:27:53
solution (no explanation)Daniel2009-02-09 00:34:54
Botherbrianjn2009-02-08 18:37:57
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