SOLUTION: Problem: There are three consecutive even integers. Half the sum of the second and third numbers is 35. What are the integers? I know the answer is 32, 34, 36, but I don't know

Question 134980: Problem: There are three consecutive even integers. Half the sum of the second and third numbers is 35. What are the integers? I know the answer is 32, 34, 36, but I don't know how to write the equation. Your site has helped me solve other problems. Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are three consecutive even integers. Half the sum of the second and third numbers is 35. What are the integers?
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"Even" means a multiple of two.
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1st: 2x
2nd: 2x+2
3rd: 2x+4
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EQUATION:
(1/2)(2x+2+2x+4)= 35
4x+6 = 70
4x = 64
x = 16
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2x = 32
2x+2 =34
2x+4 = 36
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Cheers,
Stan H.
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