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)   (Show Source): You can put this solution on YOUR website!
The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.
.
Let x = lesser of two consecutive even integers
then
x+2 = greater of two consecutive even integers
.
From: "The greater of two consecutive even integers is 6 less than three times the lesser." we derive our equation:
x+2 = 3x - 6
.
Now, solving for x (lesser of two integers):
x+2 = 3x - 6
2 = 2x - 6
8 = 2x
4 = x (lesser of two integers)
.
greater to two integers:
x+2 = 4+2 = 6 (greater of two integers)

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