This is an absolute value question but we can also solve this question on the number line
ST1) Abs (C-A) = Abs (C-B) From the question stem we know A and B can not be same points since Abs (A-B) = 18, so we are left with one option:
C is in the middle of A and B
A-----C------B or B------C--------A
No info for D, therefore it is INSUF
ST2)
Abs (D-A) > 0
No info
ST1+ST2)
So :
A--D---C---D---B we have two different distance for B-D
B------C--------A -------D we have only one distance for B-D
We have three different possibilities, hence choose E
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Just a small correction Logitech:
C is midpoint. So Dist of AC=BC=9
given CD=8
and from S2: A is to the left of D
Third possibility is not possible,
Answer is still E
Logitech, I really admire your lightning quick solutions. Your posts are always a learning manual. Thanks for all of your lovely solutions.
As from S1 and Ques: dist AB = 18A--D---C---D---B we have two different distance for B-D
B------C--------A -------D we have only one distance for B-D
We have three different possibilities, hence choose E
C is midpoint. So Dist of AC=BC=9
given CD=8
and from S2: A is to the left of D
Third possibility is not possible,
As (CD=8) < (CA=9)B------C--------A -------D we have only one distance for B-D
Answer is still E
Logitech, I really admire your lightning quick solutions. Your posts are always a learning manual. Thanks for all of your lovely solutions.
