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Two Equations, Three Variables: What is the Value of $p$?

GMAT-LLKM64

(1) $ p-m+k=1$

(2) $p-m=3-k$

Which of the statements above is sufficient to determine the value of $p$?

A

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

B

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

C

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

D

EITHER statement ALONE is sufficient to answer the question.

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.