posted August 29, 2005 01:26 AM
Long ago, a clever mathematician used to cheat people. Once he borrowed
Rs.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 the money 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 no need 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 by putting the values of "a" and "b" as 4000 and 2000
respectively, their sum is zero, so the mathematician saw no need to pay
any money to the rich man.
The above calculation has no doubt surprised you as it did the judge