SOLUTION: One - fourth the middle integer of three consecutive even integers is 24 less than one half the sum of the other two. Find the integers.

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Question 394115: One - fourth the middle integer of three consecutive even integers is 24 less than one half the sum of the other two. Find the integers.
Answer by mananth(16946) About Me  (Show Source):
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One - fourth the middle integer of three consecutive even integers is 24 less than one half the sum of the other two. Find the integers.
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x,x+2, x+4 be the even integers
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1/4 * (x+2) = 1/2 ( x+ x+4) -24
(x+2)/4 = (2x+4)/2 - 24
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multiply by 4
(x+2)=2(2x+4)-4*24
x+2=4x+8-96
4x-x=96-8+2
3x=90
/3
x=30
the numbers are 30, 32, 34
..
m.ananth@hotmail.ca