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The product of two consecutive natural numbers is greater than their sum by 155. Find these numbers

 Mar 11, 2020
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   The product of two consecutive natural numbers is greater than their sum by 155. Find these numbers     

 

   (X) • (X+1)  =  (X) + (X+1) + 155     

 

   X2 + X  =  2X + 156     

 

   X2 – X – 156  =  0     

 

   (X+12)(X –13)  =  0     

 

   X = –12   discard, neg nums aren't natural     

   X =   13     —>     X+1 =  14     

 

   check answer     

 

   13 x 14  =  182     

   13 + 14  =    27     

   subtract     155     

.     

 Feb 20, 2026

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