I'm assuming you've transcribed statement 1 wrongly. I've corrected it as follows:
Is |x| = y - z?
1. x + y = z
2. x<0
Statement 1:
x + y = z
x = z - y
We are not sure now if x is a positive or a negative value. If x is already positive, then |x| will still be (z-y). However, if x is a negative value, then |x| will be -(z- y) or (y-z). Therefore, we cannot conclusively answer the question stem. Hence insufficient.
Statement 2:
x<0, clearly this is not sufficient without any info on z and y.
Both statements together:
Since we know that x is negative (from statement 2), we can clearly conclude that |x| = y-z (from Statement 1). Hence sufficient.
Choose C.
-BM-
Absolute value question
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Source: Beat The GMAT — Data Sufficiency |
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bluementor
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