Determining Sufficient Information for y

Medium Data Sufficiency Determining Sufficiency

Consider the following equation: x + 2y = 10. We want to determine the value of y.

Statement (1): If x is increased by 4, then y becomes half of its original value.

Statement (2): If x is decreased by 2, the new equation becomes x + y = 6.

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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