10.3
Problems(2)
2 consecutive wanted (I Soros Olympiad 1994-95 R2 10.3)
Source:
5/25/2024
Find any two consecutive natural numbers, each of which is divisible by the square of the sum of its digits.
number theorysum of digits
1x2 tiles in 1995x1005 board minus BBW
Source: I Soros Olympiad 1994-95 Ukraine R2 10.3 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
6/6/2024
Given a square board with dimensions . These cells are painted with black and white paints in checkerboard order like this. that the corner cells are black. Two black and one white cells were randomly cut out of the board. Prove that the rest of the board can be divided into rectangles of size .
combinatoricstiles