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The product of two consecutive positive even integers is 80. Find the value of the greater integer.

Solution

The product of two consecutive positive even integers is 80. Find the value of the greater integer.

Solution

The largest number : 10

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 80

Solve

x (x + 2) = 80 : x = 8, x = - 10

Select positive solutions:

8

x + 2 = 8 + 2 = 10

Select the largest solution:

10

The largest number : 10

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