SOLUTION: The sum of 4 consecutive odd integers is 216. Find the four integers.

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Question 160564: The sum of 4 consecutive odd integers is 216. Find the four integers.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
An odd integer can be represented by 2x+1 where x = any integer.
The sum of four consecutive odd integers would be expressed as:
(2x+1)+(2x+3)+(2x+5)+(2x+7) = 216 Simplify.
8x+16 = 216 Subtract 16 from both sides.
8x = 200 Divide both sides by 8.
x = 25 and so...
2x+1 = 51
2x+3 = 53
2x+5 = 55
2x+7 = 57
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The sum of these four odd integers is 216