## 2 numbers

Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

44 and 66.

Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

44 and 66.

How do you make the number one disappear by adding to it?

Add the letter 'G' and it becomes Gone.

I am an odd number; take away a letter and I become even. What number am I?

7.

How many times can you subtract 5 from 25?

Just once, because after you subtract anything from it, it's not 25 anymore.

Consider the following explanation for why 1=2:
1. Start out Let y = x
2. Multiply through by x xy = x2
3. Subtract y2 from each side xy - y2 = x2 - y2
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?

Step 5 is invalid, because we are dividing by (x-y), and since x=y, we are thus dividing by 0. This is an invalid mathematical operation (division by 0), and so by not followinng basic mathematical rules, we are able to get strange results like these.

Find three positive whole numbers that have the same answer added together or when multiplied together.

1, 2 & 3.
1 x 2 x 3 = 6 and 1 + 2 + 3 = 6

How do you make the number 7 an even number without addition, subtraction, multiplication, or division?

Drop the "S".

I know a number which when multiplied by multiple of 9 i.e 9 18 27 36 45 ... The output consist of number containing only one digit.
Can you identify the number?

12345679
12345679 × 9 = 111111111 (only 1s)
12345679 × 18 = 222222222 (only 2s)
12345679 × 27 = 333333333 (only 3s)
12345679 × 36 = 444444444 (only 4s)
12345679 × 45 = 555555555 (only 5s)

How can you take 2 from 5 and leave 4?

F I V E. Remove the 2 letters F and E from five and you have IV.

Three people check into a hotel room. The bill is $30 so they each pay $10. After they go to the room, the hotel's cashier realizes that the bill should have only been $25. So he gives $5 to the bellhop and tells him to return the money to the guests. The bellhop notices that $5 can't be split evenly between the three guests, so he keeps $2 for himself and then gives the other $3 to the guests.
Now the guests, with their dollars back, have each paid $9 for a total of $27. And the bellhop has pocketed $2. So there is $27 + $2 = $29 accounted for. But the guests originally paid $30. What happened to the other dollar?

This riddle is just an example of misdirection. It is actually nonsensical to add $27 + $2, because the $27 that has been paid includes the $2 the bellhop made.
The correct math is to say that the guests paid $27, and the bellhop took $2, which, if given back to the guests, would bring them to their correct payment of $27 - $2 = $25.