Points A, B, C, and D are on the number line and AB= CD= 1/3(BC). What is the coordinate of C?

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Points A, B, C, and D are on the number line and AB= CD= 1/3(BC). What is the coordinate of C?

Mathematics
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|dw:1433368797010:dw|
that would be 7/15
how and why i dont need the answer i need the steps please...

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|dw:1433380891428:dw| No coordinates is given your statement is incomplete.
hang on lemme recheck
no that was all that was given and the answer is 29/60
?
|dw:1433382432326:dw|
whoa okay lemme check this out
Put yet another way... Let say AB start at 0 and the entire length from A to D is 1, then x= length of AB y= length of CD z = length of BC x+y+z=1 z/3+z/3+z=1 z(2/3 + 1) = 1 z=1/(5/3)=3/5 so x=y=1/5 So the coordinate of C is x+z=1/5 + 3/5 = 4/5 But in reality, AB starts at 1/3 and the entire length is (1/2 - 1/3) = 1/6 So coordinate C is at 1/3 + (4/5) * (1/6) = 1/3 + 2/15 = 7/15 . Make sense?

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