| 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 |