20 Dec 10
Originally posted by ErinRHere is one:
My challenge is for you (reader) to solve this puzzle, but you have to show your work.
516485
297485
713970
t=0 means d=5.
d+g must be less then 10, leaves for g {1,2,3,4}...
o has to be 1, because it appears in same row in solution and maximum take-over is 1 in this addition (the numbers before are different, leaving maximum of 9+8=17, which can be brought only to 18 with the identical number from row before).
that makes e=9.
n+r has be larger 10, so that the o can come from o+e. leaves for n+r {2 8, 3 8, 6 8, 7 8, 3 7, 6 7, 8 7, 7 6, 8 6} because 9, 5, 4 and 1 are gone. the only allowed sums of these are 13 = {6 7, 7 6}, because the others sum up to either 10, 11, 15 or 14.
14 is not possible, because a=4, because e=9.
that means b=3.
that leaves 7 for r, because 5+g and g can not be 1, only 2.
297485
713970
t=0 means d=5.
d+g must be less then 10, leaves for g {1,2,3,4}...
o has to be 1, because it appears in same row in solution and maximum take-over is 1 in this addition (the numbers before are different, leaving maximum of 9+8=17, which can be brought only to 18 with the identical number from row before).
that makes e=9.
n+r has be larger 10, so that the o can come from o+e. leaves for n+r {2 8, 3 8, 6 8, 7 8, 3 7, 6 7, 8 7, 7 6, 8 6} because 9, 5, 4 and 1 are gone. the only allowed sums of these are 13 = {6 7, 7 6}, because the others sum up to either 10, 11, 15 or 14.
14 is not possible, because a=4, because e=9.
that means b=3.
that leaves 7 for r, because 5+g and g can not be 1, only 2.
