SOLUTION: Find three consecutive positive even integers such that the product of the median and largest integer is 6 less than 21 times the smallest integer.

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Question 1126398: Find three consecutive positive even integers such that the product of the median and largest integer is 6 less than 21 times the smallest integer.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
system%28even_integers%2Cn-2%2Cn%2Cn%2B2%29

n%28n%2B2%29=-6%2B21%28n-2%29
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n%5E2%2B2n=21n-42-6
n%5E2-19n%2B48=0

%28n-16%29%28n-3%29=0

The MIDDLE integer is 16.


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You don't want 3, because 3 is not an "even" integer. But 16 is even.
Numbers: 14, 16, 18