Read the 12 steps of the trick and explain why the prediction "You will say Elephants in Denmark" always comes true.
- Let n be the chosen number, with 2 \le n \le 9.
- Multiply by nine: 9n.
- Since n \in \{2,3,4,5,6,7,8,9\}, the product 9n is always a two-digit number whose digits add up to 9 (multiples of 9 between 18 and 81).
- Add the two digits: 9.
- Subtract five: 9 - 5 = 4.
- Match with the alphabet: A=1, B=2, C=3, D=4. The letter is always D.
- Think of a country starting with D. In English, the most common answer is Denmark.
- Second letter of "Denmark" is e. Think of an animal starting with E: the most common answer is Elephant.
- The folded prediction says "You will say Elephants in Denmark", so it always matches.
The trick works because any number from 2 to 9 multiplied by 9 gives a multiple of 9 whose digits add to 9; subtracting 5 always gives 4, which corresponds to the letter D, leading most people to Denmark and then to Elephant.








