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Popular Word Problems >

The product of two consecutive even integers that are positive is 48. Write an equation to find the integers. Let x be the smaller of the two integers. write an equation from those numbers

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 t ha t a re p os i t i v e i s 48. W r i t e an e q u a t i o n t o f in d t h e in t e g ers . L e t x b e t h e s ma ll er o f t h e tw o in t e g ers . w r i t e an e q u a t i o n f ro m t h ose n u mb ers

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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