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

Solución

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

Solución

The number : 8

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

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

Resolver

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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