IBM Ponder This #014 · June 1999

A sports competition lasts $N$ days, where $N>1$. On the first day, organizers award 1 medal and one seventh of the remaining medals. On the second day, they award 2 medals and one seventh of the remaining medals, and so on.

On the $N$th day, they award the remaining $N$ medals.

How many days did the competition last, and how many medals were awarded in total?

Solution

Best opened after a real attempt

Solution

To be added.