American mathematical Olympiad Question | Olympiad Question solve by @MindYourBrain #america

Olympiad Question
American mathematical Olympiad question

Solve by @MindYourBrain

#olympiad #algebra #imo #maths #america #american
Olympiad Question
Olympiad

[_ds_himanshukumar]

Wow nice Question and solution is awesome

[paulocosta]

You have not prove the assumption that when you added the powers of 10 the sum is a sequence of 111 ending by 0 so the response is right but the prove is wrong as Thomas commented

[olympiadprimer]

The problem is very good, but the beginner students may watch for more easy and basic number theory problem for olympiad mathematics

[michaeleissenberg]

I don't understand the passage at 2:07. Please, explain to me the choice of choosing this substraction with the sum of the first three numbers

[taeninbuzlukolas]

Hello teacher. I am registered with AMO factorpiada. How should I prepare?
What are the most common

[Adrik-br]

But how? If we add 1000 with 1000 the answer will never under 100. Here there is no digit is minus. All are plus. So how?

[tawhv]

Right solution, but wrong prove.

To keep a long answer short:

Add 321 times 1. Then you get 10 + 100 + 1000 + ... + 1000...000 = N = 1, 111, …, 110 (322 digits)

N = 1, 111, …, 110 - 321 = 1, 111, ..., 110, 789 (322 digits)

Sumo Digits 318 * 1 + 0 + 7 + 8 + 9 = 342