Dear friends,
apply ur brain like this mathematician.....
Long ago, a 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 4000 + 2000 = 0............
Thanx & Regards,
Sidheshwar :P
From India, Bangalore
32apply ur brain like this mathematician.....
Long ago, a 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 4000 + 2000 = 0............
Thanx & Regards,
Sidheshwar :P
From India, Bangalore
ha ha
nice one
i think i got the catch
he divided both sides by a+b-c which is equal to zero and division by zero is not allowed in mathematics :D
here is one more
a=b
a.a=a.b
a.a - b.b=a.b - b.b
(a-b)(a+b)=b(a-b)
a+b=b
since a=b
therefore, 2a=a
or, 2=1
From India, New Delhi
nice one
i think i got the catch
he divided both sides by a+b-c which is equal to zero and division by zero is not allowed in mathematics :D
here is one more
a=b
a.a=a.b
a.a - b.b=a.b - b.b
(a-b)(a+b)=b(a-b)
a+b=b
since a=b
therefore, 2a=a
or, 2=1
From India, New Delhi
Hi hahahah again another idea... since a+b=b as per sskarla ==>a+b-b = b-b ==>a+0 = 0 ==>a=0 means mathematician had not taken loan of Rs. 4000.00 Regards Sidheshwar
From India, Bangalore
From India, Bangalore
Dear friends,
Both of you are playing on the same point. In both cases what you are cancelling being equal at both sides is actually a zero i.e. a+b-c in first case and b-a in the second.
Cancelling of both of these terms means 0 divided by 0. We can not imagine also of this in mathematics.
Anyhow it's nice fun out of mathematics.
I really enjoyed it.
Regards,
Dr Manisha
From India, Mumbai
Both of you are playing on the same point. In both cases what you are cancelling being equal at both sides is actually a zero i.e. a+b-c in first case and b-a in the second.
Cancelling of both of these terms means 0 divided by 0. We can not imagine also of this in mathematics.
Anyhow it's nice fun out of mathematics.
I really enjoyed it.
Regards,
Dr Manisha
From India, Mumbai
hi, frds you are reminding me of my scary maths teacher suzy thomas from whom i used to get my daily installment of scolding bcoz my answers in the somewhat homework done myself? never used to match with the real ones and those equations, permutations geometry still give my a scare when i remember those days when i feel i was the dumbest student in the class maths really has not been my cup of tea or coffee whatever, but thanx for posting whether i understand it or not.
From India, New Delhi
From India, New Delhi
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