anemone
				
				
			 
			
	
	
	
		
			
				
					
					
					
					
					
					
					
					
						
		
	
	
			
		
		
			
			
				
							
								 Gold Member
							
						
					
					
					
					
										
						
							 MHB
						
					
					
					
						
							 POTW Director
						
					
				
			
- 3,851
- 115
For the integers $a, b, c$, we have $\dfrac{2a-b}{c}=\dfrac{2b+c}{a}=\dfrac{-2a-c}{b}$. 
If $a+b=2004$, find $a+b+c$.
				
			If $a+b=2004$, find $a+b+c$.

 
 
		 
 
		 
 
		