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  In a set of five consecutive integers, the smallest integer is more than \(3/4\) the largest. What is the smallest possible value of the sum of the five integers?
  
  Jun 14, 2022
  
  #1
  +124718
  +1
  
  Let n be the smallest and  n + 4 the largest.....and we  have that,,,,,
  
  n >  (3/4)(n + 4)
  
  n >  (3/4)n + 3
  
  n - (3/4)n > 3
  
  (1/4)n > 3       multiply both sides by 4
  
  n > 12
  
  So  n =  13
  
  Jun 14, 2022