1

Part of 2013 May Olympiad

Problems(2)

May Olympiad 2013, Level 2, Problem 1

Source:

Sofia summed all the page numbers from a book starting at

1

2013

. Pablo saw how she did this and realized Sofia skipped a page. How many pages does the book have, and what page did Sofia skip?

2013 =sum 2 integers, no carry over May Olympiad (Olimpiada de Mayo) 2013 L1 P1

Source:

Find the number of ways to write the number

2013

as the sum of two integers greater than or equal to zero so that when adding there is no carry over.
Clarification: In the sum

2008+5=2013

there is carry over from the units to the tens

number theorySum