*Originally posted by ErinR*

My challenge is for you (reader) to solve this puzzle, but you have to show your work.

Here is one:

[hidden]

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.

[/hidden]