MATH IS HARD!!!!!! MY HOMEWORK IS DUE TOMORROW PLEASE HELP ASAP?

Question

Find all sets of consectutive even integers whose sum is between 25 and 45

Answer 1

If the set is two consecutive even integers:

25<2x+(2x+2)<45

25<4x+2<45

23<4x<45

23/4<x<45/4

5.75<x<11.25

x is 6, 7, 8, 9, or 10

2x is 12, 14, 16, 18, or 20

Sets are {(12,14), (14,16), (16,18), (18,20), (20,22)}

If there are three members of the set:

25<2x+2x+2+2x+4<45

25<6x+6<45

19<6x<39

19/6<x<39/6

3 1/6 < x<6 1/2

x is 4, 5, or 6

2x is 8, 10, or 12

sets are {(8,10,12), (10,12, 14), (12, 14, 16)}

If there are four consecutive integers

25<2x+2x+2+2x+4+2x+6<45

25<8x+8<45

17<8x<37

2 1/8 <x <4 5/8

x is 2, 3

2x is 4 or 6

sets are {(4,6,8,10), (6, 8, 10, 12)}

If there are 5 consecutive integers

25<2x+2x+2+2x+4+2x+6+2x+8<45

25<10x+10<45

15<10x<35

1.5<x<3.5

x must be 2

2x must be 4

sets are {(4,6,8,10,12)}

Similarly, we can find that {(2,4,6,8,10,12)} also works.

All sets are: {(12,14), (14,16), (16,18), (18,20), (20,22), (8,10,12), (10,12, 14), (12, 14, 16), (4,6,8,10), (6, 8, 10, 12), (4,6,8,10,12). (2,4,6,8,10,12)}

_/

Answer 2

SUCKER I DONT START SCHOOL FOR THREE DAYS@

Answer 3

I adivse you to stop waiting till the last second to do your homework.

=]

Answer 4

I can tell you what those numbers aren't

Answer 5

when you find out all the even numbers between 25 and 45, then you just do it from there. If i am correct....i got about 10 numbers

Answer 6

12+14 = 26

14+16 = 30

16+18 = 34

18+20 = 38

20+22 = 42

Answer 7

I think it's 12 and 14, 14 and 16, 16 and 18, 18 and 20, and 20 and 22