Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#51 2013-03-03 13:08:50

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: A number problem.

That did not make sense.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#52 2013-03-03 13:12:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Which part?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#53 2013-03-03 13:20:21

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: A number problem.

It does not seem like a proper sentence.

Amyway, the five thread conversation is really making me sweat. I am out of practice.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#54 2013-03-03 13:23:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Hmmm, you are passed your bedtime young fellow.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#55 2013-03-03 13:39:38

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: A number problem.

So?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#56 2013-03-03 15:10:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Early to bed, early to rise, makes a man healthy, wealthy and wise.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#57 2013-03-03 15:30:24

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

I guess I am having problem with precision.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#58 2013-03-03 15:41:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Hold on, I am eating. I will be checking up on this every few minutes.

What are you getting for

When you substitute a0 with 1 to 9?

If that is where you are having problems then do you want me to do one so you can see how to do it?

Last edited by bobbym (2013-03-03 15:54:28)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#59 2013-03-03 16:11:20

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

Actually I am trying to solve this equation:

(10^57-6)*a0 congruent to 0 (mod 59))

And to me it seems that every value of a0 is satisfying the equation

Last edited by Agnishom (2013-03-03 16:14:19)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#60 2013-03-03 16:16:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

That is true 1 to 9 will all work but they will not all solve the problem.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#61 2013-03-03 16:24:07

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

Why should they all work? But not satisfy the problem????????????????????????


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#62 2013-03-03 16:25:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

There are extra conditions on the problem that just multiplying by a0 does not handle.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#63 2013-03-03 17:02:31

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

What are they?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#64 2013-03-03 17:05:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Think of it like an extraneous root. Just because algebra gets an answer that does not mean it is a solution. Sometimes extraneous answers are produced. Checking by plugging in is always necessary.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#65 2013-03-03 17:10:57

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

1525423728813559322033898305084745762711864406779661016949

1016949152542372881355932203389830508474576271186440677966

Are the two answers as stefy said to plug a0 as 6 and 9


Is there a 116 digit solution too?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#66 2013-03-03 17:14:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Hi;

Before we try to answer that, there are two more solutions. Can you find them?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#67 2013-03-03 17:20:28

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

Any hint?

Gotta go to school sad sad


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#68 2013-03-03 17:23:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

I will show you how to check them, you will not need a hint. Have a good day at school and study hard.

Here is the number we find for a0 = 6:

Take the a0 and put it on the back of the answer. You get,

Now does 6 times that equal the original original number with the unit digit moved to the front?

That does equal the first number we found with the unit digit moved to the front. We have a solution! Check all the other possibles in the same way. You will find 4 solutions.

Last edited by bobbym (2013-03-03 18:23:15)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#69 2013-03-03 18:31:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: A number problem.

Agnishom wrote:

Why should they all work? But not satisfy the problem????????????????????????

I will tell you once you solve the problem.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#70 2013-03-03 22:31:08

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

508474576271186440677966101694915254237288135593220338983


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#71 2013-03-03 22:34:36

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

1186440677966101694915254237288135593220338983050847457627


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#72 2013-03-03 22:36:46

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

That makes it four. Anonymnistefy, please explain now


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#73 2013-03-03 22:40:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Hi Agnishom;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#74 2013-03-03 22:52:36

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,623
Website

Re: A number problem.

Are you kidding me?

>>> 1186440677966101694915254237288135593220338983050847457627*6
7118644067796610169491525423728813559322033898305084745762L
>>> 508474576271186440677966101694915254237288135593220338983*6
3050847457627118644067796610169491525423728813559322033898L

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#75 2013-03-03 22:58:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: A number problem.

Hi;

That first one is very interesting but

For the second one please check again.

Last edited by bobbym (2013-03-03 23:22:59)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

Board footer

Powered by FluxBB