magulurikarthi
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  • 10-09-2018
  • Mathematics
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The sum of four consecutive even integers is 44. What are these integers?

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pokeman11 pokeman11
  • 10-09-2018

The first integer is 2n + 1,

the second integer is the previous one plus 2, which is (2n+1)+2 = 2n+3

the third integer is 2n + 5

the fourth integer is 2n + 7

so the sum of all...

(2n+1) + (2n+3) + (2n+5) + (2n+7) = 8n + 16

and this sum is equal to 44...

8n + 16 = 44 ... 8n = 28... n = 7/2

First integer is 2(7/2) + 1 = 8

so the integers are 8, 10, 12, 14

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