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Popular Word Problems >

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

Solution

T h e d i ff ere n ce o f t h e s q u a res o f tw o co n sec u t i v e o dd in t e g ers i s 24. F in d t h e in t e g ers .

Solution

The numbers : - 7, - 5

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

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

Solve

x^{2} - (x + 2)^{2} = 24 : x = - 7

x + 2 = - 7 + 2 = - 5

The numbers : - 7, - 5

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