SOLUTION: please help me with this : find two consecutive even integers such as that their some is equal to the difference of three times the larger and two times the smaller.

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Question 1146237: please help me with this : find two consecutive even integers such as that their some is equal to the difference of three times the larger and two times the smaller.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n and n+2;

n%2B%28n%2B2%29=abs%283%28n%2B2%29-2n%29

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2n%2B2=abs%283n%2B6-2n%29
2n%2B2=abs%28n%2B6%29

Two possibilities.
2n%2B2=n%2B6
n=4
OR
2n%2B2=-n-6
3n=-8, would not be integer.
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highlight%28n=4%29
Other is highlight%286%29.