Welcome back to our 2023 Number Challenges series! In this episode, we dive into a fascinating problem inspired by the 1987 China Mathematical Olympiad, perfectly suited for the year 2023. Our challenge: how to maximize the sum 3m + 4n, where 'm' and 'n' represent distinct even and odd numbers respectively, adding up to the special number 2023.
This video takes you through an intriguing mathematical journey, showcasing how clever use of inequalities, particularly the Cauchy-Schwarz inequality, leads us to the boundary of 3m + 4n ≤ 223. We then demonstrate this bound is not just a theoretical limit but is practically achievable, specifically with m = 25 and n = 37, featuring even numbers from 2 to 48 and 54, and odd numbers from 1 to 73.
Ideal for math enthusiasts, students, and anyone who loves a good numerical challenge, this video is a testament to the beauty and complexity of mathematics. Join us as we continue to explore the wonders of the number 2023 through creative and thought-provoking mathematical problems. Get ready to stretch your problem-solving skills and be inspired
16 дек 2023
