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The point A, B, C, and D are on the number line, not

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The point A, B, C, and D are on the number line, not

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The point A, B, C, and D are on the number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.

OA E

Source: GMAT Prep

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BTGmoderatorDC wrote:
The point A, B, C, and D are on the number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.

OA E

Source: GMAT Prep
Let's take each statement one by one.

(1) The distance between C and A is the same as the distance between C and B.

Case 1:

A-----------9-----------C-----------8---------D--1--B; BD = 1

Case 2:

A--1--D----------8-----------C-----------9---------B; BD = 17

No unique value of BD. Insufficient.

(2) A is to the left of D on the number line.

Certainly insufficient.

(1) and (2) together

For both the cases discussed in Statement 1, we have A is to the left of D on the number line. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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BTGmoderatorDC wrote:
The point A, B, C, and D are on the number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.
The drawings below satisfy both statements:

Since in the first case BD=1 and in the second case BD=17, the two statements combined are insufficient.

The correct answer is E.

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