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GRE
GRE Quantitative Reasoning Section

GCD and Integer Relationships

Very Hard Arithmetic Integers

Let $$a$$ be an integer that is a multiple of 12, and let $$b$$ be an integer that is 5 less than a multiple of 9. Specifically, $$b = 9k - 5$$ for some integer $$k$$. Consider the following two quantities:

Quantity A: The sum $$a + b$$

Quantity B: The greatest common divisor (GCD) of $$a$$ and $$b$$.

Hint

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