SOLUTION: find the largest of three consecutive even integers when six times the first integer is equal to five times the middle

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Question 703196: find the largest of three consecutive even integers when six times the first integer is equal to five times the middle
Answer by josgarithmetic(39623) About Me  (Show Source):
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lowest: 2n
middle: 2n+2
highest: 2n+4

Six times the first (lowest) is 5 times the middle.
6(2n)=5(2n+2)
12n=10n+10
12n-10n=10
2n=10
n=5.

Find the largest or highest:
2n+4
=2(5)+4
=10+4
=14