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Republic of Math
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Jan 3 2022 · 5:38 PM

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On a line, one can either move 53 places right or 40 places left. Using only these moves, possible to end up one place to the right of start? (One place left?) [Answer is YES by Euclidean Algorithm. But what's a beautiful, accessible general way to see this for any gcd(a,b)=1?]

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The Maths Prof: Cambridge IGCSE May/June 2021 Solutions (Part 2 - Extended Level)

Here are the solutions to the Cambridge IGCSE Maths Paper 2 (EXTENDED) held in May 2021. Paper reference 0580/22/M/J/21. PART 2 includes questions 15 to 24 (see part 1 for questions 1 to 14). I hope you find the lesson useful. Subscribe to my YouTube channel to stay up to date with new uploads and f...

youtube.com

https://www.youtube.com/watch?v=qy52HSuO0NM

More from Republic of Math

On a line, one can either move 53 places right or 40 places left. Using only these moves, possible to end up one place to the right of start? (One place left?) [Answer is YES by Euclidean Algorithm. But what's a beautiful, accessible general way to see this for any gcd(a,b)=1?]

play_circle_outline

The Maths Prof: Cambridge IGCSE May/June 2021 Solutions (Part 2 - Extended Level)

Here are the solutions to the Cambridge IGCSE Maths Paper 2 (EXTENDED) held in May 2021. Paper reference 0580/22/M/J/21. PART 2 includes questions 15 to 24 (see part 1 for questions 1 to 14). I hope you find the lesson useful. Subscribe to my YouTube channel to stay up to date with new uploads and f...

youtube.com

https://www.youtube.com/watch?v=qy52HSuO0NM