AndreG wrote:

How do I approach a question like the following:

If |a - b| = |b - c| = 2 , what is |a - c| ?

1. a \lt b \lt c

2. c - a \gt c - b

(C) 2008 GMAT Club - m16#37

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient

* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient

* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

* EACH statement ALONE is sufficient

* Statements (1) and (2) TOGETHER are NOT sufficient

|a - b| = |b - c| = 2Imagine the points on a number line. There is two possibilities, either a & c are on the same side of the line relative to b, or on the opposite sides. Also remember that |x-y| represents distance between x and y on the number line.

So if a & c ar on the same side then a=c. |a-c|=0

If they are on opposite sides, |a-c|=4

(1)

a \lt b \lt ca and c on opposite sides, answer is 4. Sufficient

(2)

c - a \gt c - b This only implies

a \lt bInsufficient to know where c is, same side or opposite side. Insufficient

Answer is (A)
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