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The product of two consecutive integers is 462 . What are the integers?

Solution

The product of two consecutive integers is 462 . What are the integers?

Solution

The numbers : 21, 22 or - 22, - 21

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 462

Solve

x (x + 1) = 462 : x = 21, x = - 22

Plug in

x = 21 : 22

Plug in

x = - 22 : - 21

The numbers : 21, 22 or - 22, - 21

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