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43 votes
43 votes
The product of two consecutive positive even integers is 24. Find the integers.

User Sanket Meghani
by
2.8k points

1 Answer

16 votes
16 votes

Answer:

The two consecutive even integers

:

(

4

,

6

)

or

(

6

,

4

)Step-by-step explanation:

n

and

n

2

be the two consecutive even integers,where

n

Z

Product of

n

and

n

2

is 24

i

.

e

.

n

(

n

2

)

=

24

n

2

2

n

24

=

0

Now,

[

(

6

)

+

4

=

2

and

(

6

)

×

4

=

24

]

n

2

6

n

+

4

n

24

=

0

n

(

n

6

)

+

4

(

n

6

)

=

0

(

n

6

)

(

n

+

4

)

=

0

n

6

=

0

or

n

+

4

=

0

...

[

n

Z

]

n

=

6

or

n

=

4

(

i

)

n

=

6

n

2

=

6

2

=

4

So,the two consecutive even integers

:

(

4

,

6

)

(

i

i

)

)

n

=

4

n

2

=

4

2

=

6

So,the two consecutive even integers

:

(

6

,

4

)

User Denislav
by
3.1k points