The worlds first riddle!

NUMBERS
I get 3771 solutions ignoring rearrangements.

Yes Try I would like to stick with answer:

Quarter and 5 cents - so, one is not a quarter

The sum of the digits of an even number is 95
the sum of the digits of half the above number
70. How many odd digits has this number?


Whim

Merlin:

Legs:
"6060"

Damn, I thought that would run and run.

Geographical Position.
Nope. It's below Africa's western lobe.


If your latitude is 0°, you must be somewhere on the equator, the line separating the northern and southern hemispheres. If your longitude is 0°, you are standing on a line that connects the North and South Poles, and passes through Greenwich, England. The two lines meet in the Atlantic Ocean, a few hundred kilometres south of Ghana and west of Gabon.


Mark makes a good point, "Are you sure the mathematician didn't intend for all solutions to be counted?"


No I am not. I was just going from the wording, ""876+429 = 1305 is one way to write a sum which uses all digits (0-9) only once."

Then, "The same question may be asked for products."

Which is one of the reasons I mentioned the (two-digit) answer. A better answer would be ALL possible combinations. I turn the page and you )have again) beaten me to it.

NUMBERS
Mark:
"I get 3771 solutions ignoring rearrangements." Very

I don't think I could get anywhere near that number. Well done.


VOWELS
"Five Thousand"


Thinking I would be able to get MyO to change his mind, he replied, "Yes Try I would like to stick with answer:

"Quarter and 5 cents - so, one is not a quarter"

Good answer!


Whim, your puzzle looks testing (as always)




How many times can a student stuff an unknown number of books into an large empty book bag


If all the numbers in existence starting with zero were written in English and then arranged in alphabetical order, what number would be first



What is the only English word for a number that when spelled, its letters are in alphabetical order



Time for breakfast, follow these instructions: Take one full cup of coffee and drink 1/6 of it. Replace what you drank with milk. Now, drink 1/3 of the coffee/milk mixture. Again, replace what you drank with more milk. Now, drink 1/2 of what is in the cup. Once again, replace what you drank with milk. Now drink the entire cup of mixed coffee/milk.

The questions are:
Have you had more milk or more coffee
How much of each have you had

More coffee; you've added less than a cup of milk.

BOOKS
Once. After that, it's not empty.

FIRST ALPHABETICALLY
Is this limited to integers?
8 unless 1,000,000,000 is written 'billion' instead of 'one billion'

If not limited to integers, how about 6.022x10^23 (Avogadro's number)?

LETTERS IN ALPHABETICAL ORDER
forty

COFFEE
1 cup of each

1/6 + 1/3 + 1/2 = 1

One solution:
Five odd digits
649898989898
324949494949

Whim

I suppose one with lions, because if they haven't ate for 3 years, they must be dead

Next Letter:
N (then T, then E, then T)

REMAINDERS
2519 (LCM of 2-10 minus 1)

8 different digits in increasing order (without using concatenation) If so please give one or two examples.


Now, let us explore writing numbers with copies of one digit.
For example, a persons age could be written as (1+1+1)11+1, 2*(22+2)+2, 33+(3/3), 4*(4+4)+(4+4)/4, 5*5+5+5-(5/5), 6*6-(6+6)/6, 7*7-7-7-(7/7), 8+8+8+8+(8+8)/8, or 9+9+9+9-(9+9)/9.

Question: How old is that person

Therefore, what is the shortest way to make 2000 using copies of one digit each of (1-9)

(1-(2+(3+4))) * (5 * (6-(7 * 8 ))) = 2000
2-(((3/4) * (5-(6 * 7))) * (8 * 9)) = 2000



Question: How old is that person? 34



Whim

Blame Whim for what?

2*(22+2)+2 = 50, not 34

2000 NINE WAYS
I don't claim that these are optimal. I'm using the underscore to represent the bar that is placed over a digit to the right of the decimal point to indicate infinite repetition. Holler if any of the operations I use are illegal.
(1+1)/(.1^(1+1+1)) (6 ones)
2*(2/.2)^(2+2/2) (6 twos)
(3-3/3)*(3/.3)^3 (6 threes)
sqrt(4)*(4/.4)^(4-4/4) (6 fours)
.5*(5!+5)/(.5)^5 (5 fives)
sqrt(((6/.6)^6)*6*.6) (5 sixes)
((7+7)/7)*(7/.7)^sqrt(7/.7) (7 sevens)
(8+8)*8*8/(.8*.8*.8) (7 eights)
(.9+.9)*(9/.9)^sqrt(9) (5 nines)

Envelope 3

CALCULATOR
No claims that these are optimal. The underscore is again used as the repetend bar.
1 = .9
2 = .9+.9
3 = sqrt(9)
4 = sqrt(9)+.9
5 = sqrt(9)!-.9
6 = sqrt(9)!
7 = sqrt(9)!+.9
8 = 9-.9
9 = 9
10 = 9/.9
11 = 9/.9+.9
12 = 9 + sqrt(9)
13 = 9/.9+sqrt(9)
14 = 9+sqrt(9)!-.9
15 = 9+sqrt(9)!
16 = 9/.9+sqrt(9)!
17 = 9+9-.9
18 = 9+9
19 = 9/.9+9
20 = (9+9)/.9


IRRATIONAL
1/5 (based on simulations)