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GRE
GRE Quantitative Reasoning Section

Comparison of Integer Expressions

Very Hard Arithmetic Integers

Let the integers $a$ and $b$ be defined such that:

$$ a = 10k + 4 $$

for some integer $k$, and

$$ b = 15m + 9 $$

for some integer $m$. Determine the relationship between the following quantities:

Quantity A: The value of $a + b$.

Quantity B: The value of $b + 2$.

Hint

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