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Popular >

the product of two consecutive positive even integers is 120. find the value of the lesser integer.

Solution

the product of two consecutive positive even integers is 120. 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) = 120

Solve

x (x + 2) = 120 : x = 10, x = - 12

Select positive solutions:

10

x + 2 = 10 + 2 = 12

Select the smallest solution:

10

The smallest number : 10

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