SOLUTION: In an ordered list of five conseccutive positive even integers, the ratio of the greatest integer to the least integer is 2 to 1. Which of the following is the middle integer in th

Question 275258: In an ordered list of five conseccutive positive even integers, the ratio of the greatest integer to the least integer is 2 to 1. Which of the following is the middle integer in the list?
(A)10
(B)12
(C)14
(D)16
(E)18
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
To make sure the smallest integer is greater than 0 let x+2 be the smallest integer. Then the next four consecutive even integres are x+4, x+6, x+8 and x+10.
We are given that:
(x+10)/(x+2) = 2
So:
x+10 = 2*(x+2)
x+10 = 2x + 4
x = 6
The middle integer is x+6 = 12.

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