SOLUTION: The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.

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Question 159648: The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.
Answer by nerdybill(7384) About Me  (Show Source):
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The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.
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Let x = lesser of two consecutive even integers
then
x+2 = greater of two consecutive even integers
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From: "The greater of two consecutive even integers is 6 less than three times the lesser." we derive our equation:
x+2 = 3x - 6
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Now, solving for x (lesser of two integers):
x+2 = 3x - 6
2 = 2x - 6
8 = 2x
4 = x (lesser of two integers)
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greater to two integers:
x+2 = 4+2 = 6 (greater of two integers)