Sunday, July 29, 2018

mathematics - How do I convince my grandmother?


How do I convince my grandmother (who really hates mathematics) that there exist three positive integers $x,y,z$ that satisfy the equation $28x+30y+31z=3650$?



Answer




You tell your Grandmother:



Take ten ordinary years. They contain exactly 3650 days, and these days are split among several months with 28, 30, and 31 days.



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