Determine x - y from xy and x + y

Hard Problem Solving Algebra

Let x and y be integers. Which of the following statements is sufficient to determine the value of the expression x - y?

Statement (1): The product xy = 20.

Statement (2): The sum x + y = 10.

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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