Algebraic Expressions and Sufficient Data

Very Hard Problem Solving Algebra

Let $x$ and $y$ be two positive integers. We need to determine the value of $x + y$.

Statement (1): $x - y = 3$

Statement (2): $2x + y = 15$

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 (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct77%