SOLUTION: Find four consecutive odd integers such that the sum of the second and third is 19 greater than the fourth.

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Question 1075430: Find four consecutive odd integers such that the sum of the second and third is 19 greater than the fourth.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%282n%2B1%2C2n%2B3%2C2n%2B5%2C2n%2B7%29

%282n%2B3%29%2B%282n%2B5%29=19%2B%282n%2B7%29

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2n%2B8%2B2n=19%2B2n%2B7
2n=19%2B7-8
2n=18
n=9

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The consecutive odd integers: 19, 21, 23, 25


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The alternative simpler method also works:
matrix%281%2C4%2Cn%2Cn%2B2%2Cn%2B4%2Cn%2B6%29

%28n%2B2%29%2B%28n%2B4%29=19%2B%28n%2B6%29
2n%2B6=n%2B25
n=25-6
n=19