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

Question

Mathematics

Marcelo Wolfe

17 June, 07:40

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

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Answers (2)

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Xzavier Estes · Answer 1

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

Josephine Kim · Answer 2

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