Puzzle 11, or not. Who's keeping track?

armageddon272 · 12-23-2004, 01:45 PM

OK, similar to the $30 hotel thread. Some, or most of you might have seen this. Took me some time to figure it out myself.

Proof that 1=2

if
a=b then we multiply both sides by (a) and come to
a^2=ab now we ad (a^2-2ab) and get
a^2+a^2-2ab=ab+a^2-2ab or
2(a^2-ab)=a^2-ab now we divide both sides by (a^2-ab) to get
2=1 as the final answer.

What is wrong with this logic? Like I said, took me about 15 or 20 minutes of thinking and experimenting with numbers to find the problem.

Bungleau · 12-23-2004, 03:34 PM

Answer PMd.... but not the original answer. I've seen this one before, but never analyzed it in depth. Now I have....

Davros · 12-23-2004, 05:11 PM

8 out of 11 - took me 90 seconds to see that you take advantage of mathematical property as opposed to any flouting of the laws of mathematics.

armageddon272 · 12-23-2004, 05:49 PM

I've had 4 right answers so far. No wrong ones. I guess this was too easy.

Bozos of Bones · 12-23-2004, 07:10 PM

Erm... I sent the identical paradox at the Paradox thread a month ago...

Lavindathar · 12-23-2004, 07:53 PM

I'm drunk and even with my A-level in Maths, Im not even going to attempt it.

armageddon272 · 12-23-2004, 08:31 PM

Sorry Bozos. Guess I missed it. Glory goes to you then.

Bozos of Bones · 12-24-2004, 08:33 PM

Aw heck, sorry if I sounded like a bastard, didn't mean to..
Anyways, I was just rebrowsing the threads, and noticed that it is not the problem I listed in the Paradox thread. I guess I just thought it was the same thing, just reversed, so I posted it. What I meant to say, is that people just might already know the answer because I posted it recently, that's all...
As for the problem itself, I think I see where it comes from, but I'm too damn lazy to calculate or test it... Nice stuff anyways!

LennonCook · 12-24-2004, 10:33 PM

There is another version of this that works on the same principle. They only differ in one line. I learned this from my year 10 math teacher:

Quote:

Let a = b
a² = ab
a² - b² = ab - b²
(a + b)(a - b) = b(a - b)
a + b = b

Let a = 1, thus b = 1 (since b = a),
1 + 1 = 1
2 = 1

Bozos, this could be the one you posted in the Paradox thread aswell. [img]smile.gif[/img]

Lavindathar · 12-25-2004, 06:10 AM

Ah, now I'm sober I can see it!

So, mathmatically, 2=1!!!

12-23-2004, 03:34 PM	#2
Bungleau 40th Level Warrior Join Date: October 29, 2001 Location: Western Wilds of Michigan Posts: 11,752	Answer PMd.... but not the original answer. I've seen this one before, but never analyzed it in depth. Now I have.... __________________ B Save Early, Save Often Save Before, Save After Two-Star General, Spelling Soldiers -+-+-+ Give 'em a hug one more time. It might be the last.

12-23-2004, 05:11 PM	#3
Davros Takhisis Follower Join Date: January 7, 2001 Location: Mandurah, West Australia Age: 60 Posts: 5,073	8 out of 11 - took me 90 seconds to see that you take advantage of mathematical property as opposed to any flouting of the laws of mathematics. __________________ Davros was right - just ask JD

12-23-2004, 07:10 PM	#5
Bozos of Bones Apophis Join Date: July 29, 2003 Location: The Underdark cavern of Zagreb Age: 37 Posts: 4,679	Erm... I sent the identical paradox at the Paradox thread a month ago... __________________ MAKE LOVE, NOT SPAM!

12-23-2004, 07:53 PM	#6
Lavindathar Harper Join Date: March 21, 2001 Location: Lancs, England Age: 39 Posts: 4,729	I'm drunk and even with my A-level in Maths, Im not even going to attempt it. __________________ =@

12-24-2004, 08:33 PM	#8
Bozos of Bones Apophis Join Date: July 29, 2003 Location: The Underdark cavern of Zagreb Age: 37 Posts: 4,679	Aw heck, sorry if I sounded like a bastard, didn't mean to.. Anyways, I was just rebrowsing the threads, and noticed that it is not the problem I listed in the Paradox thread. I guess I just thought it was the same thing, just reversed, so I posted it. What I meant to say, is that people just might already know the answer because I posted it recently, that's all... As for the problem itself, I think I see where it comes from, but I'm too damn lazy to calculate or test it... Nice stuff anyways! __________________ MAKE LOVE, NOT SPAM!

12-23-2004, 01:45 PM	#1
armageddon272 Symbol of Cyric Join Date: September 20, 2004 Location: Maine, feel sorry for me Age: 33 Posts: 1,163	OK, similar to the $30 hotel thread. Some, or most of you might have seen this. Took me some time to figure it out myself. Proof that 1=2 if a=b then we multiply both sides by (a) and come to a^2=ab now we ad (a^2-2ab) and get a^2+a^2-2ab=ab+a^2-2ab or 2(a^2-ab)=a^2-ab now we divide both sides by (a^2-ab) to get 2=1 as the final answer. What is wrong with this logic? Like I said, took me about 15 or 20 minutes of thinking and experimenting with numbers to find the problem.

12-23-2004, 05:49 PM	#4
armageddon272 Symbol of Cyric Join Date: September 20, 2004 Location: Maine, feel sorry for me Age: 33 Posts: 1,163	I've had 4 right answers so far. No wrong ones. I guess this was too easy.

12-23-2004, 08:31 PM	#7
armageddon272 Symbol of Cyric Join Date: September 20, 2004 Location: Maine, feel sorry for me Age: 33 Posts: 1,163	Sorry Bozos. Guess I missed it. Glory goes to you then.

12-25-2004, 06:10 AM	#10
Lavindathar Harper Join Date: March 21, 2001 Location: Lancs, England Age: 39 Posts: 4,729	Ah, now I'm sober I can see it! So, mathmatically, 2=1!!! __________________ =@

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