Did your computer show you this or do you have a proof, actually a very simple proof?Looks like Sir Jomo zatryin' to pull a fast one...
I will not look. Besides, a proof will follow with my results.Sir Hart, thou shalt standeth in the corner of a circular room.....
i don't know about that!1 + 11 = 12
4 + 14 = 18
13 + 2 = 15
8 + 3 = 7
6 + 10 = 16
9 + 5 = 17
-----
There, I did it. Technically, no one ever said the equations had to be correct, just that I had to fill in the blanks.
OK tough guy, here is the solution. 1st the total sum of the 12 numbers is 78. 12, being the largest number, must be on the rhs. The rhs must sum to 39 = 78/2 which can only happen if the rhs is 12,11,10, 6 or 12,11,9, 7 or 12,10, 9, 8Using all the numbers 1-12 can you fill in the 12 blanks?
_ + _ = _
_ + _ = _
_ + _ = _
_ + _ = _
That one has 6 solutions.
Find them...then I'll answer your question :cool:
Don't you mean a cylindrical room??Sir Hart, thou shalt standeth in the corner of a circular room.....
How did I miss that one. There was NEVER any doubt in my mind, even before I found more than 6, that there would be more than 6 solutions. I know you better than that.The 8 answers are (you too get a bonus of 1!):
the 7 you showed
and:
1 + 9 = 10
2 + 4 = 6
3 + 8 = 11
5 + 7 = 12
"The problem is that I gave away the proof to my original question!"
Too bad, so sad :lol:
Oh by the way, the 2 I missed were on purpose: to make you feel better :lol:
The solution to my original post.Proof of what? That there is 8 solutions?
Find them...then I'll answer your questionUsing all the numbers 1-12 can you fill in the 12 blanks?
_ + _ = _
_ + _ = _
_ + _ = _
_ + _ = _
That one has 6 solutions.
Find them...then I'll answer your question :cool:
Yeah, that was what I expected.Since 18*19/2 = 171, then no solutions !!