## the product of two consecutive positive even intergers is 14 more than their sum. Find the integers.

Question

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## Answers ( No )

Answer:4 and sixStep-by-step explanation: n= the first number (

n

+

2

)

= the second number

Set up an equation using the information n

× (

n

+

2

)

=

n

+

(

n

+

2

)

+

14 doing the operations gives.

n

2 + 2

n

= 2

n + 16 Subtract 2

n from both sides

n

2

+ 2

n

− 2

n =

2

n −

2

n +

16

This results in n

2

= 16

Take the square root of both sides.√

n

2 = ± √

16

This gives n

=

4 or n

= −

4

The negative answer is invalid n = 4 add 2 to find n

+

2

, the second number

4

+

2

=

6