4

Part of 2013 May Olympiad

Problems(2)

May Olympiad 2013, Level 2, Problem 4

Source:

Is it possible to write

100

odd numbers on a line such that the sum of any

5

consecutive numbers is a square number and the sum of any

9

consecutive numbers is also a square number?

5 numbers wanted, 10 sums given May Olympiad (Olimpiada de Mayo) 2013 L1 P4

Source:

5

numbers on one sheet and then wrote the numbers

6,7,8,8,9,9,10,10,11

12

on another sheet that he gave Sofia, indicating that those numbers are the possible sums of two of the numbers that he had hidden. Decide if with this information Sofia can determine the five numbers Pablo wrote .