1975 IMO Problem 1

Rearrangement inequality again.

[matthewchuang]

I really like your video on inequalities. Could you also make some videos on number theory problem, regarding to finding the pair of solutions (e.g (a, b, c, d...)=..) or problem that can be solved with infinite descents method. I guess it would also help viewers to more topic:)

[rgqwerty]

If IMO was like this now, even i couldve qualified.

But in the context of this problem I dont think you can quote the rearrangement inequality since its the bulk of the question. Im sure you would only get the full points with a proof. It would still make it a 10 min solution

[makeislameasy]

Please make a full course on math olympiad basic to advance
.

[akashsudhanshu]

If want to know if this👇is a theorem or not.
Draw a right ∆ABC angleA=90°, base AB
Draw AP on BC and AQ on BC extended such that PAB=BAQ.
👉ANGLE bisectors of APC & AQP will meet at same point on AC.

[amberdeshbhratar]

Thank's to your channel to show this new inequality.

[jharnamandal]

Sir I like your videos very much. I have seen all of your videos. They help a lot. Whatever theorems or lemmas you use I wore all of those down which I don't know because I am preparing for competitive exams and exams for getting into colleges with mathematics. I respect you a lot but I just want to say that sometimes in your videosyou make silly mistakes like on writing the theorems and inequalities .Pls check the videos
thoroughly and make them with more concentration.Cause if I out someone else wrote then down and do it in the exams they world get it wrong. I never intend to hurt you in any manner. If I have hurt you I apologize my heart for it. I just told to make you more concerned. Eagerly waiting for your next video

[akashsudhanshu]

I found this while solving a problem. I want it to be obvious or a theorem which has a proof.👇👇

[memomariya]

how can you sure x1y1+...+xnyn is the max

[akashsudhanshu]

Osman nal sir I am waiting for your answer to this 👇