Transylvanian Hungarian MC (Romania) 2012 - G9 - P1
Find all numbers for which the relation
holds.
Proposed by Bela Kovacs
Solution
Solve for .
Determine all value(s) of
where the positive factors of
are
and
.
Equate each factor to
and the values of
are
and
, respectively.
Find the value of
when
then
then
then
then
then
Answer: and