Number Magic

Question :
What are 'Arithmetic Fallacies' ?

Answer :
Sometimes certain problems are put leading to arithmetical results which are obviously impossible. Such problems are known as Arithmetical fallacies.
Here is an example :
Prove 1 = 2
Proof :
Suppose that a = b
Then ab=a2
ab - b2 = a2 - b2
ab - b2 = (a + b) (a - b)
b = a + b
b = 2b
1 = 2
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