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Fluent in Lies
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#1
Report Thread starter 15 years ago
#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.
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Gauss
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#2
Report 15 years ago
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(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.
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Twiglet
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#3
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how do you do that using matrices ?
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Fluent in Lies
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#4
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#4
yes, i cant see how that would be done, please explanify
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BCHL85
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#5
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#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
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BCHL85
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#6
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#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
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Fluent in Lies
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#7
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Yes thats sort of the reasoning I used
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BCHL85
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#8
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#8
Should put it in computer program, I think
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Fluent in Lies
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#9
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#9
I still want galois to tell me how to do it with matricies....
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BCHL85
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#10
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#10
Oh, come on. I think he misunderstood the question. Maybe he thought the letters can be negative.
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Taldarion
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#11
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#11
no, turn the letters into simultaneous equations then into a matrix to solve, then use cramers rules
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Taldarion
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#12
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wait a sec, that probably wont work. I'll try it in the morning, cant be arsed now
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BCHL85
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#13
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#13
Read above ah, you had same mistake as Galois's.
It's better to use computer program here.
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