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Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third.

 Mar 22, 2015

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 #1
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Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third.

Let x be the first integer, x +2 be the second and x + 4  the third  ....so ....

x + 2(x + 2)  =  (x + 4) + 12  simplify

x + 2x + 4  = x + 16

3x + 4  = x + 16     subtract x, 4  from both sides

2x = 12     divide by 2 on both sides

x = 6  

x + 2  = 8

x + 4 = 10

 

  

 Mar 22, 2015
 #1
avatar+130517 
+6
Best Answer

Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third.

Let x be the first integer, x +2 be the second and x + 4  the third  ....so ....

x + 2(x + 2)  =  (x + 4) + 12  simplify

x + 2x + 4  = x + 16

3x + 4  = x + 16     subtract x, 4  from both sides

2x = 12     divide by 2 on both sides

x = 6  

x + 2  = 8

x + 4 = 10

 

  

CPhill Mar 22, 2015

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