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Two positive numbers differ by 12 and their reciprocals differ by 4/5

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Tough and Tricky questions: Algebra.



Two positive numbers differ by 12 and their reciprocals differ by \frac{4}{5}. What is their product?

A. \frac{2}{15}
B. \frac{48}{5}
C. 15
D. 42
E. 60

Kudos for a correct solution.

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