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The product of two positive consecutive even integers is 728. What are the two integers?

Solution

The product of two positive consecutive even integers is 728. What are the two integers?

Solution

The numbers : 26, 28 or - 28, - 26

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 728

Solve

x (x + 2) = 728 : x = 26, x = - 28

Plug in

x = 26 : 28

Plug in

x = - 28 : - 26

The numbers : 26, 28 or - 28, - 26

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