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February 9th, 2013, 04:26 AM   #1
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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.
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February 9th, 2013, 02:11 PM   #2
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Re: Changing Numbers To Prescribed Values Under Special Limi

It's pretty straightforward algebra.
z- y= 1820= x-5- 91/1217


So z= x- 5- y- 91/1217= x- y- 5994/1217.
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February 9th, 2013, 10:33 PM   #3
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Re: Changing Numbers To Prescribed Values Under Special Limi

Quote:
... only using the first two terms ...
z is basically an unknown. It is a more of a goal, but as far as the problem is concerned it must be omitted from your equation.
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February 10th, 2013, 04:32 AM   #4
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Re: Changing Numbers To Prescribed Values Under Special Limi

Quote:
Originally Posted by perry
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 '+','-','*','/'.
Huh? And you said z is an unknown
So ok if worded: "turn y into z using the first two terms"?
Explain "and or a constant".

And whadda hell is "Special Limitati"?
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February 10th, 2013, 11:17 PM   #5
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Re: Changing Numbers To Prescribed Values Under Special Limi

Quote:
Huh? And you said z is an unknown _shock_
So ok if worded: "turn y into z using the first two terms"?
Explain "and or a constant".

And whadda hell is "Special Limitati"?
Let's go in reverse order...

'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.
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February 11th, 2013, 06:35 AM   #6
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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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