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Popular Word Problems >

The product of two consecutive odd integers is 99. Find the integers. Answer only with the positive integers. For example, if the integers are 8 and 10, and −8 and −10, answer 8 and 10.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e o dd in t e g ers i s 99. F in d t h e in t e g ers . A n s w er o n l y w i t h t h e p os i t i v e in t e g ers . F or e x am pl e, i f t h e in t e g ers a re 8 an d 10, an d - 8 an d - 10, an s w er 8 an d 10.

Solution

The numbers : 9, 11

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 99

Solve

x (x + 2) = 99 : x = 9, x = - 11

Select positive solutions:

9

x + 2 = 9 + 2 = 11

The numbers : 9, 11

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