Money exchange

The task is especially relevant in the financial crisis and for tax officials, although it was created in the 18th century.
Two, Andrei and Fedor, exchange money (in order to avoid taxes). First, Andrei gave part of his money to Fedor, then Fedor to Andrei, then again Andrei Fedor and, finally, Fedor gave Andrei money for the last time, and after this transfer, everyone had 160 rubles. The amount of money transferred each time was equal to the amount of money received from them.
How much money was Andrei and Fedor originally?
PS since the task itself is not complicated, it is supposed to be solved in the mind as soon as possible, since it is these decisions that often have to be made in the conditions of the financial crisis.