SOLUTION: The larger of two consecutive even integers is 6 less than 3 times the smaller. Find the integers.

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Question 156493: The larger of two consecutive even integers is 6 less than 3 times the smaller. Find the integers.
Answer by SAT Math Tutor(36) About Me  (Show Source):
You can put this solution on YOUR website!
Let the larger integer be n so the smaller integer is n-1.
Then, set it up:
n = 3(n-1) - 6
And solve:
n = 3n - 3 - 6
n = 3n - 9
-2n = -9
n = 4.5
This is not an integer so there is no integer solution to the problem.