Turn on thread page Beta

Maths puzzle watch

Announcements
    • Thread Starter
    Offline

    0
    ReputationRep:
    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.
    Offline

    2
    ReputationRep:
    (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.
    Offline

    2
    ReputationRep:
    how do you do that using matrices ?
    • Thread Starter
    Offline

    0
    ReputationRep:
    yes, i cant see how that would be done, please explanify
    Offline

    12
    ReputationRep:
    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
    Offline

    12
    ReputationRep:
    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
    • Thread Starter
    Offline

    0
    ReputationRep:
    Yes thats sort of the reasoning I used
    Offline

    12
    ReputationRep:
    Should put it in computer program, I think
    • Thread Starter
    Offline

    0
    ReputationRep:
    I still want galois to tell me how to do it with matricies....
    Offline

    12
    ReputationRep:
    Oh, come on. I think he misunderstood the question. Maybe he thought the letters can be negative.
    Offline

    0
    ReputationRep:
    no, turn the letters into simultaneous equations then into a matrix to solve, then use cramers rules
    Offline

    0
    ReputationRep:
    wait a sec, that probably wont work. I'll try it in the morning, cant be arsed now
    Offline

    12
    ReputationRep:
    Read above ah, you had same mistake as Galois's.
    It's better to use computer program here.
 
 
 
Turn on thread page Beta
Updated: February 3, 2005

University open days

  • Manchester Metropolitan University
    Postgraduate Open Day Postgraduate
    Wed, 14 Nov '18
  • University of Chester
    Chester campuses Undergraduate
    Wed, 14 Nov '18
  • Anglia Ruskin University
    Ambitious, driven, developing your career & employability? Aspiring in your field, up-skilling after a career break? Then our Postgrad Open Evening is for you. Postgraduate
    Wed, 14 Nov '18
Poll
Should Banksy be put in prison?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Equations

Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.