olymmath

TUYMAADA 2008 J1

    Portraits of famous scientists hang on a wall. The scientists lived between 1600 and 2008, and none of them lived longer than 80 years. Vasya multiplied the years of birth of these scientists, and Petya multiplied the years of their death. Petya's result is exactly 545\over 4 times greater than Vasya's result. What minimum number of portraits can be on the wall?

    Author: V. Frank

    Dataset text AI-MO AoPS. Quoted with source.

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