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

Solution

The numbers : 4, 6

Solution steps

Represent the numbers with

x

First number : x

Consecutive number : x + 2

A.T.Q.:

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

Solve

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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