Question 39
There are three consecutive positive integers on a blackboard. A move consists of erasing the smallest number on the blackboard and replacing it by the sum of itself and the greatest number on the blackboard. Is it possible that the sum of the numbers on the blackboard will be a power of 10:
a) after the 6th move?
b) after the 8th move?
a) after the 6th move?
b) after the 8th move?