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KCC's Quizzes AQQ231 about Birthdays and Cake Candles



		

			

									
					    KCC
					
							

			
				
									
											
			
			
				
  •  Analog Employees  

			
			
			    	
			                    
                
				                on Mar 29, 2023 
				
			
			
		


				
		

		    		    
		    
		    	
			
 


Mary celebrates her birthday every year from the very first year. 


The number of candles on her cake used reflects her age : 1 at age of 1, 2 at age of 2, 3 at age of 3 etc…


 Up to now, she has blow out a total of 946 candles.


Questions:


    

  1. How old is Mary today?
    2. 

  2. In an other family, there are 2 sisters, Ann and Helen. Helen is 5 years younger than Ann. They both follows the same scenario for the candles as Mary. The cumulated candled used by the 2 sisters is 1687. How old are Ann and Helen?
    3. 



P.S. If you think there are still colleagues or friends (internal or external) you think who can be interested in those quizzes, please let let them know....


Kuo-Chang

										


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[edited by: emassa at 1:54 PM (GMT -4) on 29 Mar 2023]
				

						
			        
		


				
						
        

    
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                on Mar 29, 2023 10:52 AM
            
            
					
      
	
      

		
		
      
					
      Mary and Ann age will be 43 and Helen will be of 48.
      As no of candles has blow is 1+2+3+4.......n that is n(n+1) /2 and after calculation it will be 43.
      For Ann and Helen if their age is n and n+5 then no of candles blow will be (1+2+3+4..... n) +(1+2+3+4..... n+5) so after calculation value of n will be 38 so n+5= 43
      
			
      

		
			
	      

		
		
	
      
	
      
		
      
			
		
      
	
      
	
      
		
						
				
				
						
				
				
		
		
      
			
		
      
	
      

      

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                on Mar 29, 2023 10:52 AM
            
            
					
        
	
        

		
		
        
					
        Mary and Ann age will be 43 and Helen will be of 48.
        As no of candles has blow is 1+2+3+4.......n that is n(n+1) /2 and after calculation it will be 43.
        For Ann and Helen if their age is n and n+5 then no of candles blow will be (1+2+3+4..... n) +(1+2+3+4..... n+5) so after calculation value of n will be 38 so n+5= 43
        
			
        

		
			
	      

		
		
	
        
	
        
		
        
			
		
        
	
        
	
        
		
						
				
				
						
				
				
		
		
        
			
		
        
	
        

        

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