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The product of two consecutive negative even integers is 80. Find the value of the lesser integer.

Solution

The product of two consecutive negative even integers is 80. Find the value of the lesser integer.

Solution

The smallest 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 negative solutions:

- 10

x + 2 = - 10 + 2 = - 8

Select the smallest solution:

- 10

The smallest number : - 10

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