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Popular Word Problems >

The product of two consecutive positive even integers is 6 more than three times their sum. Find the value of the larger integer.

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 6 m ore t han t h ree t im es t h e i r s u m . F in d t h e v a l u e o f t h e l a r g er in t e g er .

Solution

The number : 8

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 6 + 3 (x + x + 2)

Solve

x (x + 2) = 6 + 3 (x + x + 2) : x = 6, x = - 2

Select positive solutions:

6

x + 2 = 6 + 2 = 8

The number : 8

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