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The sum of five consective even numbers is less than 100.Find the maximum sum of these five numbers

User Dejon
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2 Answers

1 vote
x+x+2+x+4+x+6+x+8 < 100
5x + 20 < 100
5x < 80
x < 16

so the 5 numbers are 14,16,18,20,22 and maximum sum = 90
User MaFF
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5 votes

100/5 = 20

would be the middle number so 18 +19+20+21+22 = 100

since you want it to be less than 100 use 17 instead of 22

so you have 17 +18+19+20+21 = 95

95 is the maximum sum

User Yan Brunet
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