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2019 South Africa National Olympiad
2
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2019 South Africa National Olympiad
Problems
(1)
SAMO Problem 2: Sums of consecutive natural numbers
Source: South African Mathematics Olympiad, Problem 2
7/25/2019
We have a deck of
90
90
90
cards that are numbered from
10
10
10
to
99
99
99
(all two-digit numbers). How many sets of three or more different cards in this deck are there such that the number on one of them is the sum of the other numbers, and those other numbers are consecutive?
combinatorics
Summation