Last week our village had a fête. One of the competitions on offer was to guess the number of balls in a bag. There were N balls in the bag, and they were numbered 1, 2, 3, …, N. To help competitors make a sensible guess, they were allowed to take out four balls and note the numbers on them.
When I took part, I pulled out balls numbered 24, 87, 14 and 35.
There is a prize for the person who guesses the correct number exactly. How many balls should I estimate are in the bag?
Send your answers to firstname.lastname@example.org. Explain to us how you came up with the solution, as we may publish a selection of correct entries (if received by 7 March 2022).