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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
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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

 

cool cool cool

 Jun 14, 2022

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