olymmath

KöMaL 2006 B3913

    Consider the following two number sets: A={3n−45n−3 ⁣:n∈Z}andB={4k−37k−6 ⁣:k∈Z}.A=\left\{ \frac{3n-4}{5n-3}\colon n \in \mathbb{Z}\right\} \text{and} B=\left\{ \frac{4k-3}{7k-6}\colon k\in \mathbb{Z}\right\}. How many elements are there in the set A∩BA \cap B?

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