2006 Cyprus MO/Lyceum/Problem 13
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Problem
The sum of the digits of the number 
is
Solution
is a 
followed by 2006 
's. When we subtract 
, we will get something close to 2006 
's.
The last four digits are 
, and so we have 2002 s followed by 
.
The sum of these is 
See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 12 | Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
