Re: System of equations


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Re: System of equations



>From: Hernan Rivera <hrivera@tlu.edu>
>To: Ray Kremer <raykremer@HOTMAIL.COM>
>Subject: Re: System of equations
>Date: Sat, 24 Mar 2001 22:23:29 -0800
>
>The numbers are small, you don't really need a program.  Since lcm(a,b)=180
>then we can say that  ax = 180, by = 180, so your first equation can be
>written as
>180/x + 180/y = 56 or  45/x + 45/y = 14 each of the fractions on the left
>hand
>side of the equation have to be integers and divisors of 180, the only two
>that add up to 14 are 9 and 5 and that will give you a=20, b=36.
>=======
>
>Ray Kremer wrote:
>
> > Least common multiple doesn't really fit to any equation, so you would
>be
> > hard pressed to have the calc solve this right away.  I don't know if
>it's
> > the best way but what I would do is set up a small program with a for
>loop
> > that does a guess and check of all the possible values of a and b.
> >
> > >Can anyone  tell me how to solve this system of equation please:
> > >a+b=56 and lcm(a,b)=180 with a<b
> > >I couldn't solve this using my TI-89.
> > >I think that this type of equation can't be solved by the calculator.

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