MathDB
Problems
Contests
National and Regional Contests
Ecuador Contests
Ecuador Juniors
2017 Ecuador Juniors
1
1
Part of
2017 Ecuador Juniors
Problems
(1)
year monster wakes up - 2017 Ecuador Juniors (OMEC) L2 p1
Source:
10/25/2022
An ancient Inca legend tells that a monster lives among the mountains that when wakes up, eats everyone who read this issue. After such a task, the monster returns to the mountains and sleeps for a number of years equal to the sum of its digits of the year in which you last woke up. The monster woke up for the first time in the year
234
234
234
. a) Would the monster have woken up between the years
2005
2005
2005
and
2015
2015
2015
? b) Will we be safe in the next
10
10
10
years?
number theory
Digits