Mark M. answered • 10/07/18

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Two consecutive odd integers: n, n + 2

(n + 2)

^{2}- n^{2}= 24Can you solve for n and answer?

Chjk H.

asked • 10/07/18Can you solve this problem please

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Mark M. answered • 10/07/18

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Two consecutive odd integers: n, n + 2

(n + 2)^{2} - n^{2} = 24

Can you solve for n and answer?

Arturo O. answered • 10/07/18

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Consecutive odd integers are separated by 2, so if n is one of them and n + 2 is the other,

(n + 2)^{2} - n^{2} = 24

(n^{2} + 4n + 4) - n^{2} = 24

4n = 20

Test the answer.

Heather W. answered • 10/07/18

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"Consecutive" means that they follow each other, like 3 and 5 or 27 and 29.

An odd integer can be represented as 2k+1 where k is some integer. Based on that, how would you represent the "next" odd integer after 2k+1?

Once you have representations for both odd integers (2k+1 and...?), set up an equation for their difference of squares. That will allow you to find k. Then, you can find the original integers.

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