Math problems archive

Find all the positive integer numbers m and n which fulfill this equation:

10 (m + n) = mn

This problem was set on the republic competition in 1998. For 1st grades of secondary school (15-16 years old kids).

Find all positive integer numbers which fulfill this equation:

Tom has 21 dominoes size 3 x 1, and Jerry has 1 domino size 1 x 1. Can they brick the table size 8 x 8? If can, find all the fields where Jerry can put his domino!

These problems were set on the Mathematical Meeting VII, in Zagreb, summer 1998. Big thamks goes to prof. Ilko Brnetić for setting them!

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