SOLUTION: Find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 15.

Question 364957: Find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 15.
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Let x = 1st odd integer
x + 2 = 2nd odd integer
x + 4 = 3rd odd integer
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(x) + (x + 4) = (x + 2) + 15
x + x + 4 = x + 2 + 15
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Combine like terms.
2x - x = 17 - 4
x = 13
x + 2 = 13 + 2 = 15
x + 4 = 13 + 4 = 17
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The three consecutive odd integers are 13, 15, and 17.

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