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# Maths puzzle watch

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1. Code:
```T H R E E
T H R E E
F O U R
O N E +
-------------------
E L E V E N```
What value for each letter makes this true? (E non-zero)I worked it out, but my method was a bit crude, I am wondering if there is a set method for solving these, hopefully one that is a bit more elegent than mine.
2. (Original post by Fluent in Lies)
Code:
```T H R E E
T H R E E
F O U R
O N E +
-------------------
E L E V E N```
What value for each letter makes this true? (E non-zero)I worked it out, but my method was a bit crude, I am wondering if there is a set method for solving these, hopefully one that is a bit more elegent than mine.
Matrices should do the trick.
3. how do you do that using matrices ?
4. yes, i cant see how that would be done, please explanify
5. I think it can't use matrices here, because of the addition.
Suppose E = 8, R = 4, 8+8+4+8 = 28 -> the second colum will give you different equation. Similar to next column
6. Ok, got some ideas now.
Consider H + H + F, it can't give you a value greater than 27.(9*3= 27)
If H + H + F >=20
-> 2T + 2 >= 10 (give a number has 2 letters)
-> T>= 4.
And 2T + 2 <= 20 because T <= 9. So E <= 2.
That gives you E = 1 or E = 2.
Let me continue thinking about that
7. Yes thats sort of the reasoning I used
8. Should put it in computer program, I think
9. I still want galois to tell me how to do it with matricies....
10. Oh, come on. I think he misunderstood the question. Maybe he thought the letters can be negative.
11. no, turn the letters into simultaneous equations then into a matrix to solve, then use cramers rules
12. wait a sec, that probably wont work. I'll try it in the morning, cant be arsed now
It's better to use computer program here.

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