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Popular >

The product of two consecutive even numbers is 12 more than the square of the smaller number. find the numbers

Solution

The product of two consecutive even numbers is 12 more than the square of the smaller number. find the numbers

Solution

The numbers : 6, 8

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x (x + 2) = 12 + x^{2}

Solve

x (x + 2) = 12 + x^{2} : x = 6

x + 2 = 6 + 2 = 8

The numbers : 6, 8

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