Determine the Value of x with Given Statements

Very Hard Problem Solving Algebra

Let x and y represent two positive integers. We need to determine the value of x given that y is the product of two consecutive odd integers.

Statement (1): The difference between the two consecutive odd integers is 2.

Statement (2): The product of the two integers is 45.

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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