Analyzing Conditions for A Positive Integer

Very Hard Data Sufficiency Analyzing Information

Let $x$ be a positive integer. We want to determine whether $x$ is greater than or equal to 100.

Statement (1): The sum of the digits of $x$ is 10.

Statement (2): $x$ is a multiple of 9.

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 together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

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