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Popular Word Problems >

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

Solution

T h e p ro d u c t o f tw o p os i t i v e co n sec u t i v e e v e n in t e g ers i s 728. Wha t a re t h e tw o in t e g ers ?

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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