SOLUTION: The difference of the squares of two consecutive odd integers is 24. Find the integers.

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Question 853219: The difference of the squares of two consecutive odd integers is 24. Find the integers.




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive Odd Integers, 2n+1 and 2n+3.

Obtaining Difference of their Squares:

4n%5E2%2B12n%2B9-%284n%5E2%2B4n%2B1%29
12n-4n%2B9-1
8n%2B8

The description gave that equivalent to 24.
8n%2B8=24
8n=24-8
8n=16
n=2

Those odd consecutive numbers are these:
2%2A2%2B1=highlight%285%29
and
2%2A2%2B3=highlight%287%29