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

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Question 102189: the greater of two consecutive even integers is 6 less than three times the lesser
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two consecutive even integers, let's call them X and X+2.
The greater (X+2) is 6 less than 3 times the lesser (X) or
X%2B2+=+3X+-+6
X-X%2B2=3X-X-6 Additive inverse of X.
2%2B6=2X-6%2B6 Simplify. Additive inverse of -6.
8%2F2=2X%2F2 Simplify. Multiplicative inverse of 2.
X=4
X%2B2=6
Your answer X=4 and X+2=6.
Let's verify the solution.
X%2B2+=+3X+-+6
6+=+3%284%29+-+6
6+=+6
Good answer.