The product of two consecutive even integers that are positive is 48. Write an equation to find the integers. Let x be the smaller of the two integers.

Solution

Solution

The numbers : 6, 8 or - 8, - 6

Solution steps

Represent the numbers with

x

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 48

Solve

x (x + 2) = 48 : x = 6, x = - 8

Plug in

x = 6 : 8

Plug in

x = - 8 : - 6

The numbers : 6, 8 or - 8, - 6

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