In a bouquet of flowers, all but two are roses, all but two are tulips, and all but two are daisies. How many flowers are in the bouquet?
How can you place the numbers 1 through 9 in a 3x3 grid such that every row, column, and the two diagonals
all add up to 15?
Consider the following explanation for why 1=2 :
1. Start out | Let y = x | |
2. Multiply through by x | xy = x^{2} | |
3. Subtract y^{2} from each side | xy - y^{2} = x^{2} - y^{2} | |
4. Factor each side | y(x-y) = (x+y)(x-y) | |
5. Divide both sides by (x-y) | y = x+y | |
6. Divide both sides by y | y/y = x/y + y/y | |
7. And so... | 1 = x/y + 1 | |
8. Since x=y, x/y = 1 | 1 = 1 + 1 | |
8. And so... | 1 = 2 |
How is this possible?