Data Sufficiency: Product of Integers

Very Hard Data Sufficiency Determining Sufficiency

Let $x$ and $y$ be two positive integers such that the sum of these integers is equal to 12, i.e., $x + y = 12$. We want to determine if the product $P = xy$ is greater than 32.

To solve this, we will analyze two statements:

The value of $x$ is 5.

The value of $y$ is 7.

Both $x$ and $y$ are odd integers.

The difference $|x - y|$ is 2.

Hint

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