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Populaire Word Problems >

The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can used to find the two numbers and solve it.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e p os i t i v e e v e n in t e g ers i s 14 m ore t han t h e i r s u m . S e t u p an e q u a t i o n t ha t c an u se d t o f in d t h e tw o n u mb ers an d so l v e i t .

Solution

The numbers : 4, 6

étapes des solutions

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 14 + x + x + 2

Résoudre

x (x + 2) = 14 + x + x + 2 : x = 4, x = - 4

Select positive solutions:

4

x + 2 = 4 + 2 = 6

The numbers : 4, 6

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