Short Setup; Copious Constraints
Number Theory
Level
3
A number \(N\) has three digits when expressed in base 7, say, \(N=\overline{xyz}_7.\)
When \(N\) is expressed in base 9, the digits are reversed: \(N=\overline{zyx}_9.\)
Find \(N\) (in base 10).
by
Julian Yu