Question 17
Alex, Ben, and Carl each have a certain number of marbles, with one of them having exactly 25 marbles. They exchange marbles in the following manner:
- First Exchange: Alex receives marbles from Ben equal to Alex’s original number.
- Second Exchange: Ben receives marbles from Carl equal to Ben’s number just before this exchange.
- Third Exchange: Carl receives marbles from Alex equal to Carl’s number before the exchange.
After these three exchanges, they each have the same number of marbles. How many marbles did Carl have initially?
- First Exchange: Alex receives marbles from Ben equal to Alex’s original number.
- Second Exchange: Ben receives marbles from Carl equal to Ben’s number just before this exchange.
- Third Exchange: Carl receives marbles from Alex equal to Carl’s number before the exchange.
After these three exchanges, they each have the same number of marbles. How many marbles did Carl have initially?