There are two numbers. If four times the larger of two numbers is divided by the smaller one, we get 7 as quotient and 0 as remainder. If five times the smaller of two numbers is divided by the larger one, we get 2 as quotient and 24 as remainder. Find the numbers.
The numbers 1 to 11 are written on 11 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?