Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

All the digits.

Expanding on this post by shiwaji:
http://www.mathisfunforum.com/viewtopic … 25#p116925

solve:

Use the digits 1,2,3,4,5,6,7,8,9,0 for the letters a,b,c,d,e,f,g,h,i,j.
Each letter stands for a different digit.
No leading digits can be 0. In other words 460 is OK but 046 isn't. For instance with

a=9
b=2
c=3
d=4
e=5
f=6
g=7
h=8
i=2
j=0

you would have:

Of course that example is not true because 92/345 + 67/820 ≠ 1. It is just for illustration.

Find those that are true.

Last edited by bobbym (2009-08-08 04:09:43)

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,879

Re: All the digits.

Hi Bobby,

I used Janet's (LibertyBasic) program from shiwaji's "Sum of fractions which equals 1" thread - with some adjustments for your problem - and it found only the solutions you posted above.

Last edited by phrontister (2009-08-18 23:05:58)

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: All the digits.

Hi phrontister;

That prog can get all these types of problems.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,879

Re: All the digits.

Hi Bobby,

That prog can get all these types of problems.

Eventually...it took 15 minutes.

Had time to wash the dishes, dry them, put them away, fill the kettle, boil the kettle, make a cuppa...came back to the computer...it was still thinking.

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: All the digits.

Hi phrontister;

LBasic isn't exactly speedy.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.