SOLUTION: Five times the first of three consecutive even integers is fourteen more than three times the second. What is the third consecutive integer?

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Question 147985: Five times the first of three consecutive even integers is fourteen more than three times the second. What is the third consecutive integer?
Answer by nerdybill(7384) About Me  (Show Source):
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Five times the first of three consecutive even integers is fourteen more than three times the second. What is the third consecutive integer?
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Let x = 1st of three consecutive integers
x+2 = 2nd of three consecutive integers
x+4 = 3rd of three consecutive integers
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From:"Five times the first of three consecutive even integers is fourteen more than three times the second." we get:
5x = 3(x+2)+14
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Solving for x:
5x = 3(x+2)+14
5x = 3x+6+14
5x = 3x+20
2x = 20
x = 10
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The "3rd of the three consecutive integers" is:
x+4 = 10+4 = 14