Eve and Martti have a whole number of euros.

Martti said to Eve: "If you give me three euros, so I have n times the money compared to you."
Eve in turn said to Martti: "If you give me n euros then I have triple the amount of money compared to you".

Suppose, that both claims are valid. What values can a positive integer n get?

Suppose we replace the 3 in this problem with the number m. Then, if Eve gives Martti m euros, then he will have n times as much as her. If Martti gives Eve n euros, then she will have m times as much as him. What integer values of m and n are possible?

Posted by Math Man on 2020-10-28 11:40:36