In a football collective, the winnings amounted to £1,475.
There were more than 30 people in the syndicate but fewer than 100.
Each won exactly the same number of pounds and no pence were involved. How much did each win?
Answer: 59 people: each with £25.
Once you have the factors of 1,475 (which are 5, 5, 59) there is only one way of satisfying the question.
5x5 x 59 = 25 x 59. QED.