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Monday, January 23, 2006

Exciting mathematical Puzzle

Long ago, a mathematician used to cheat people.

Once he borrowedRs.4000/- from a rich man.

After a few days, he borrowed Rs.2000/- from the same man.

Many days passed, the mathematician did not return themoney to the rich man.

The rich man went to the mathematician and asked to return the money.

But to his great surprise, the mathematician replied that there is noneed to pay the debt.

"See here, friend" said the mathematician " the sum of 4000 and 2000 is equal to zero,

so I do not have any balance to pay".

The rich man took the matter to the court.

When the judge came to know this, he was astonished .

He asked the mathematician to prove that sum of 4000 and 2000 is zero, and not 6000.

The Clever mathematician agreed.

He said:

let a == 4000, b == 2000 and c == 6000

a + b == c

Multiply both sides by a + b

(a + b) (a + b ) == c (a + b)

a*a + ab + ba + b*b == ca + cb

a*a + ab - ca == cb - b*b - ba

a( a + b -c) == -b(b + a - c)

so a == - b

a + b == 0

Hence 4000 + 2000 = 0............

1 Comments:

  • At 7:01 AM, Blogger James said…

    this is null.. (a+b-c) is equal to (c - c) since a+b is equal to c. therefore, you are multiplying 0 to the variables and you can't cancel it out.

     

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