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In a set of five consecutive integers, the smallest integer is more than 4/5 the largest. What is the smallest possible value of the sum of the five integers?

 Sep 15, 2021
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In a set of five consecutive integers, the smallest integer is more than 4/5 the largest. What is the smallest possible value of the sum of the five integers?     

 

If the set were 16 thru 20 the ratio of the smallest to the largest is 16/20 = exactly 4/5.  

 

Since the problem specifies more than 4/5, then the set of integers is 17 thru 21.  

 

17 + 18 + 19 + 20 + 21 =  95  

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 Sep 15, 2021

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