Re: An interesting math problem
- To: mathgroup at smc.vnet.net
- Subject: [mg36125] Re: An interesting math problem
- From: timreh719 at yahoo.com.tw (bryan)
- Date: Thu, 22 Aug 2002 04:33:03 -0400 (EDT)
- References: <ajvp7h$ibk$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi All:
I'm sorry for that my question is not clear,I have correct below.
timreh719 at yahoo.com.tw (bryan) wrote in message news:<ajvp7h$ibk$1 at smc.vnet.net>...
> Hi All:
> I have a very interesting math problem:If I have a scales,and I
> have 40 things that their mass range from 1~40 which each is a nature
> number,and now I can only make 4 counterweights to measure out each
> mass of those things.Question:What mass should the counterweights
> be???
> The answer is that 1,3,9,27 and I wnat to use mathematica to solve
> this problem.
> In fact,I think that this physical problem has various
> answer,ex.2,4,10,28
> this way also work,because if I have a thing which weight 3 , and I
> can measure out by comparing 2<3<4 . But,If I want to solve this math
> problem:
> {x|x=k1*a+k2*b+k3*c+k4*d}={1,2,3,4,,,,,,40} where a,b,c,d is nature numbers.
> and {k1,k2,k3,k4}={1,0,-1}
> How to solve it ??
> Thank you very much in advance and hope mail to me your method and
> mathematica solving method. appreciate any idea sharing
> sincerely
> bryan