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February 9th, 2013, 05:26 AM  #1 
Newbie Joined: Feb 2013 Posts: 3 Thanks: 0  Changing Numbers To Prescribed Values Under Special Limitati
x=1825+91/1217 y=7+2/3 z=1827+2/3 Is there any way to turn x into z only using the first two terms, andor a constant, and the operators '+','','*','/'. I know I can take ((x)(x mod 10)) + y = z, but this uses a modulus. ... Basically the core of the question is can I change any number's last digit and its decimal value to something I decide by only using the number itself and the desired digit and decimal? ... I feel like splitting the numerator and denominator and running independent operations on each might be the way to go. 
February 9th, 2013, 03:11 PM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Changing Numbers To Prescribed Values Under Special Limi
It's pretty straightforward algebra. z y= 1820= x5 91/1217 So z= x 5 y 91/1217= x y 5994/1217. 
February 9th, 2013, 11:33 PM  #3  
Newbie Joined: Feb 2013 Posts: 3 Thanks: 0  Re: Changing Numbers To Prescribed Values Under Special Limi Quote:
 
February 10th, 2013, 05:32 AM  #4  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,808 Thanks: 971  Re: Changing Numbers To Prescribed Values Under Special Limi Quote:
So ok if worded: "turn y into z using the first two terms"? Explain "and or a constant". And whadda hell is "Special Limitati"?  
February 11th, 2013, 12:17 AM  #5  
Newbie Joined: Feb 2013 Posts: 3 Thanks: 0  Re: Changing Numbers To Prescribed Values Under Special Limi Quote:
'Special Limitati' is actually 'Special Limitations'. I suppose mymathforum.com's thread titles have their own special limitations. Below this reply dialogue the title is 'Special Limi'. 'and or a constant' is exactly that. The goal is to change a term int(a)+(b/c) into ((a)(a mod 10))+(d/e). I want to remove that modulus from the obvious solution to the problem and substitute it with some series of elementary operations. It has proven difficult. I allow for a constant because if you want to remove say a natural log from a problem, you can use the constant e. e**ln(x)=x. The problem with modulus in an equation is solving for other variables. t=(r)+(((a)(a mod 10))+(d/e))/v)**2+(u/a) then wanting to solve for a that modulus proves a thorn in your side. 'z is basically an unknown' this is I admit a weird way to state it but I can explain. I have written an algorithm that iterates over a series of numbers. Each number produces different values. That final value is then run through the ((a)(a mod 10))+(d/e) equation. So when I look through my data set after it has run I can tell immediately if the values fit the desired form of z, that is sharing all digits higher than the tens with 'a' and any lower with that of (d/e), but as the algorithm is running those values are changing and so the final form of z is unknown. I hope that clarifies. I can explain further if necessary. I know my wording can be wonky if only quickly looked over.  
February 11th, 2013, 07:35 AM  #6 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,808 Thanks: 971  Re: Changing Numbers To Prescribed Values Under Special Limi
Well, I'm still confused! Perhaps tahir.iman will ride in to the rescue: he's got an answer for everything :P 

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