Determining Students in Grades A and B

Very Easy Data Sufficiency Analyzing Information

In a school, the total number of students in two grades, Grade A and Grade B, is 80. The school principal wants to know how many students are in each grade.

Let the number of students in Grade A be represented by the variable $x$, and the number of students in Grade B be represented by the variable $y$. We have the relationship:

$$ x + y = 80 $$

Determine whether any of the following statements provides sufficient information to find the distinct values of $x$ and $y$.

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.

Hint

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