earse natural from board - All-Russian MO 1996 Regional (R4) 8.7
Source:
September 23, 2024
number theoryalgebra
Problem Statement
Dunno wrote several different natural numbers on the board and divided (in his head) the sum of these numbers by their product. After this, Dunno erased the smallest number and divided (again in his mind) the amount of the remaining numbers by their product. The second result was times greater than the first. What number did Dunno erase?