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We want two consecutive even integers such that twice the smaller is 26 less than 3 times the larger.

I know how to calculate this but I can't figure out what the x is. What is the answer and how did u figure it out?? That is 2x = 3(x+2) - 26.

2007-05-02 11:46:13 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

Thanks for all the great answers. Can any of you answer my other math question, too?

http://answers.yahoo.com/question/index;_ylt=AnknMQuEK8PWUHMeuR9Wcfrsy6IX?qid=20070502154746AAHWJYl

2007-05-02 12:23:07 · update #1

5 answers

Let x be the smaller and (x+2) be the larger. Solve:

2x = 3(x+2) - 26

2x = 3x + 6 - 26

2x - 3x = 6 - 26

-x = -20

x = 20

The two numbers are 20 and 22.

2007-05-02 11:49:38 · answer #1 · answered by Anonymous · 1 0

Beautiful eye Yommygoo...

2x = 3(x+2) - 26
2x = 3x + 6 - 26
- x = - 20
So x = 20, and integers are 20, 22

2007-05-02 18:57:42 · answer #2 · answered by Anonymous · 1 0

2x = 3(x+2)-26

distribute the 3:

2x = 3x+6-26

combine like terms:

2X = 3x-20

subtract 3x:

-x = -20

multiply( or divide doesnt matter) by -1.

x=20; so the integers are 20 and 22.

2007-05-02 18:54:33 · answer #3 · answered by Ari 6 · 1 0

integers are x & x+2
2x=3(x+2)-26 distribute 3
2x=3x+6-26 combine like terms
2x=3x-20 subtract 3x from each side
-x=-20 divide both sides by -1
x=20
x+2=22
the numbers are 20 & 22

2007-05-02 18:51:17 · answer #4 · answered by yupchagee 7 · 1 0

2x=3(x+2)-26
2x=3x+6-26
2x=3x-20
-x=-20
x=20
and x=22

2007-05-02 19:25:49 · answer #5 · answered by Dave aka Spider Monkey 7 · 1 0

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