
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 27th, 2009, 08:06 AM  #1 
Newbie Joined: Jul 2008 Posts: 12 Thanks: 0  DECODING LETTERS
Can anybody shed some light on this as how to solve it with equations: T W O X T W O  T H R E E 
October 27th, 2009, 09:01 AM  #2 
Member Joined: Oct 2009 Posts: 39 Thanks: 0  Re: DECODING LETTERS
I assume it is TWO x TWO=THREE where one letter is for one digit. First of all please mark that T = 1 (otherwise two numbers T** x T** would NOT equal T****, I mean first digit would not be identical). Second  THREE is square of TWO. You wanted some light, is it enough? I mean you need to work yourself, it is maths, i.e. DIY 
October 27th, 2009, 11:40 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,731 Thanks: 1808 
Assuming different letters represent different digits, and that decimal arithmetic is used, the letter O cannot represent 0, 1, 3, 4, 5, 6, 7, or 9 (since no perfect squares end in 66 or 99), so it must represent 2 or 8, and so E represents 4. It's now fairly easy to determine what digits O and W represent, and hence what digits H and R represent. 
October 27th, 2009, 02:24 PM  #4 
Senior Member Joined: Oct 2009 Posts: 105 Thanks: 0  Re: DECODING LETTERS
Why not try to rearrange the problem? So instead of TWO * TWO = THREE Try (100T + 10W + 1O)^2. Find out what that equals and group all of your 10000s, 1000s, 100s, 10s, and 1s together. After that, try to match them with (10000T + 1000H + 100R + 10E + E). To start you off, I got 10000T^2 = 10000T, which means T^2 = T. Obviously, T has to equal one. Edit** Actually... T could be 0 also. This would require H to be 0 as well though. I'm getting answers to fit the format, however my problem is I am ending up with either W equaling T or H equaling T. I can't see another way around this! I ended up getting T = 1, W = 1, O = 2, H = 2, R = 5, and E = 4. 112*112 = 12544 and 012*012 = 00144 This works great if T and W can be considered the same number, however they are assigned different letters which is confusing me. If someone could please share the correct answer, it would be much appreciated. I'm actually starting to believe it is impossible based on the formula I have. 
October 28th, 2009, 02:40 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,731 Thanks: 1808 
So O is not 2. However, O = 8 works.


Tags 
decoding, letters 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Need help with Decoding Math watch  fmt2bx  New Users  3  March 6th, 2014 05:30 AM 
Greek letters  Spook  Academic Guidance  10  April 5th, 2013 10:15 PM 
math without letters  mr.math  Algebra  31  December 4th, 2011 05:34 AM 
How many words of seven letters  mike688  Advanced Statistics  2  September 23rd, 2011 09:56 AM 
ordering of letters  mad  Algebra  10  August 28th, 2010 08:32 PM 