Maths puzzle

Watch
This discussion is closed.
#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.
0
15 years ago
#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.
0
15 years ago
#3
how do you do that using matrices ?
0
#4
yes, i cant see how that would be done, please explanify
0
15 years ago
#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
0
15 years ago
#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
0
#7
Yes thats sort of the reasoning I used
0
15 years ago
#8
Should put it in computer program, I think
0
#9
I still want galois to tell me how to do it with matricies....
0
15 years ago
#10
Oh, come on. I think he misunderstood the question. Maybe he thought the letters can be negative.
0
15 years ago
#11
no, turn the letters into simultaneous equations then into a matrix to solve, then use cramers rules
0
15 years ago
#12
wait a sec, that probably wont work. I'll try it in the morning, cant be arsed now
0
15 years ago
#13
It's better to use computer program here.
0
X
new posts
Back
to top
Latest
My Feed

Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Poll

Join the discussion

What I expected (116)
25.78%
Better than expected (93)
20.67%
Worse than expected (241)
53.56%