MathDB

2

Part of 2018 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2018 Grade 6 Problem 2

Source:

9/18/2018
Find all integers nn such that n+43n−2\frac{n+4}{3n-2} is integer
Integerfrac integer
Junior Regional Olympiad - FBH 2018 Grade 7 Problem 2

Source:

9/19/2018
On blackboard is written 33 digit number so all three digits are distinct than zero. Out of it, we made three 22 digit numbers by crossing out first digit of original number, crossing out second digit of original number and crossing out third digit of original number. Sum of those three numbers is 293293. Which number is written on blackboard?
blackboardDigitsoriginal number
Junior Regional Olympiad - FBH 2018 Grade 8 Problem 2

Source:

9/19/2018
Find all integers mm such that 2m2+7m−9m2+m+1\frac{2m^2+7m-9}{m^2+m+1} is integer
Integerfrac integer