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Math - marie flore joseph, Monday, April 5, 2010 at 10:37pm
the difference of the squares of two consecutive odd integers is 24 find the integers

Let the first integer be x, then the next consecutive off integer is x+2
(x+2)^2 - x^2 = 24
x^2 + 4x + 4 - x^2 = 24
4x = 20
x = 5

the two integers are 5 and 7

check to see if they meet the condition you stated.