MathDB

2

Part of 1996 May Olympiad

Problems(2)

3375 cubes of side 1

Source: II May Olympiad (Olimpiada de Mayo) 1996 L2 P2

9/17/2022
Joining 153=337515^3 = 3375 cubes of 11 cm3^3, bodies with a volume of 33753375 cm3^3 can be built. Indicate how two bodies AA and BB are constructed with 33753375 cubes each and such that the lateral surface of BB is 1010 times the lateral surface of AA.
combinatorics
3-digit numbers

Source: II May Olympiad (Olimpiada de Mayo) 1996 L1 P2

9/17/2022
Considering the three-digit natural numbers, how many of them, when adding two of their digits, are double of their remainder? Justify your answer.
number theoryDigits