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Popular Word Problems >

The product of two consecutive even integers is 48 . Find all sets of these integers that satisfy this description.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e e v e n in t e g ers i s 48 . F in d a ll se t s o f t h ese in t e g ers t ha t s a t i s f y t hi s d escr i pt i o n .

Solution

The numbers : 6, 8 or - 8, - 6

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 48

Solve

x (x + 2) = 48 : x = 6, x = - 8

Plug in

x = 6 : 8

Plug in

x = - 8 : - 6

The numbers : 6, 8 or - 8, - 6

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