Integers Sum and Product Analysis

Easy Data Sufficiency Analyzing Information

Let $x$ and $y$ be two integers such that:

1. The sum of $x$ and $y$ is greater than 10.

2. The product of $x$ and $y$ is 24.

What can we conclude about the values of $x$ and $y$ based on the following statements?

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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