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?

Guest Sep 15, 2021

#1**0 **

*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**

_{.}

Guest Sep 15, 2021