# Rafael + nadal = tennis

David113
Posers and Puzzles 03 Aug '08 21:39
1. 03 Aug '08 21:393 edits
....R...A...F...A...E...L
+.......N...A...D..A...L
----------------------------
....T...E...N...N...I...S

Each letter represents a different digit. Reconstruct the sum.ðŸ™‚

(the dots are there just for alignment)
2. 03 Aug '08 23:50
Originally posted by David113
....R...A...F...A...E...L
+.......N...A...D..A...L
----------------------------
....T...E...N...N...I...S

Each letter represents a different digit. Reconstruct the sum.ðŸ™‚

(the dots are there just for alignment)
Solution sent. I verified only one solution.

The relationships of D & F, A & N were very key to the testing process, although I did use a bit of trial and error.
3. 03 Aug '08 23:58
Originally posted by geepamoogle
Solution sent. I verified only one solution.

The relationships of D & F, A & N were very key to the testing process, although I did use a bit of trial and error.
SOLV'D (geepamoogle)
4. 05 Aug '08 16:20
I'm surprised nobody else has answered this one.

I left the actual solution unsaid to give everyone a chance..
5. forkedknight
Defend the Universe
05 Aug '08 20:361 edit
I found a solution if you allow 'T' to be 0 (with a leading 1).

..975712
+..37672
----------
1013384

Still working on T != 0

*edit* I guess that would work if you play tennis online ðŸ˜›
6. 05 Aug '08 21:461 edit
Originally posted by forkedknight
I found a solution if you allow 'T' to be 0 (with a leading 1).

..975712
+..37672
----------
1013384

Still working on T != 0

*edit* I guess that would work if you play tennis online ðŸ˜›
My girlfriend found that one as well, heheh.

E-Tennis, eh? That would be interesting..
7. 06 Aug '08 11:53
842415
74345
---------
917760
8. 06 Aug '08 14:09
Originally posted by luskin
842415
74345
---------
917760
according to my calculator: 842415+74345=916760
9. 06 Aug '08 14:54
Originally posted by crazyblue
according to my calculator: 842415+74345=916760
I should've checked with calculator myself.
582807
18387
---------
601194
10. 06 Aug '08 17:391 edit
11. forkedknight
Defend the Universe
06 Aug '08 20:551 edit
How about peoples' methods for solving this one and/or other similar puzzles in general.

I created an Excel spreadsheet and played around with relationship formulas and error conditions. I can email it to you if you'd like to see it.

We coded a general solver for this type of problem in SCHEME/LISP in my artificial intelligence class at university last semeseter. I didn't have that code handy for this problem though.
12. 06 Aug '08 21:49
Originally posted by forkedknight
How about peoples' methods for solving this one and/or other similar puzzles in general.

I created an Excel spreadsheet and played around with relationship formulas and error conditions. I can email it to you if you'd like to see it.

We coded a general solver for this type of problem in SCHEME/LISP in my artificial intelligence class at university last semeseter. I didn't have that code handy for this problem though.
Well, the method which worked for me is as follows.

In initially working with the problem, I noticed two additions..

A + D = N
A + F = N

Based on this, one of the two have a carry added in, the other does not.

In addition to this, A cannot be 0 or 9, or else A = N.
N can't be 0 as it starts a number, and for some reason, I had eliminated N = 9 as well. The reason may come to me.

At any rate, since the two sums occur beside each other, I can determine what D and F are from A and N.

I simply tried each combination of A and N, eliminating first those where I had matching numbers, as well as those where A + N + 1 resulted in no carry (since R + 0 = T...)

Each test was straightforward, with solving for E leading to quick judgment of each case.
13. 07 Aug '08 01:18
i also did A and N combinations. later i tried a php script that solves it, but without success. but now that this is solved i thought of creating my own puzzle. and since i saw all 41 episodes of sledge hammer in the last week, i had a good idea right away... (trust me, i know what im doing!) ðŸ™„

........S...L...E...D...G...E
-.......H...A...M...M...E...R
-------------------------------
............G...R...E...A...T

now the problem with this is, that it probably doesnt have a solution. ðŸ˜€
i also tried php and for some reason it can calcuate - better than + so it spitted out some solutions (i didnt limit it with stuff like S!=H because that would just cause a timeout without results).

so the only solutions i get is with S=H and A=D. maybe someone can think of a better result-word. the word "sledge hammer" uses 9 letters already, so you have just 1 extra letter you can use.

so this is a 2-in-1 puzzle:
a) solve this or show there is no solution
b) find a "esult-word that brings a solution
14. forkedknight
Defend the Universe
07 Aug '08 01:34
Originally posted by geepamoogle

I simply tried each combination of A and N, eliminating first those where I had matching numbers, as well as those where A + N + 1 resulted in no carry (since R + 0 = T...)
you must mean that A + N + 1 DOES result in a carry, since R != T
15. 07 Aug '08 03:49
Originally posted by forkedknight
you must mean that A + N + 1 DOES result in a carry, since R != T
Exactly.

Just as A + D and A + F cannot both equal N, and thus exactly one of the two has a carry.