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

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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