34
   

The worlds first riddle!

 
 
Izzie
 
  3  
Reply Sun 19 Oct, 2008 05:01 pm
@Tryagain,
Tryagain wrote:


And to keep the MARK busy:

A man comes up with two numbers between 1 and 99 (meaning not 1 or 99 but from 2 to 98).

The sum of these two numbers is under 99. He tells one person the sum (S) of these numbers and another person the product (P) of these numbers.

The person with the product comes up to the person with the sum and says "I don't know the two numbers".
The person with the sum replies with "I know that you don't know the two numbers".

Immediately, the man with the product says "Now I know the two numbers" and the man with the sum says "Now I know the two numbers too".

What are the two numbers Question


oooooooooooooh toughie baduffie....

ohhhhhhhhhhhhhh Mark.... we need the skil we saw last week.... Are you better mate - or have you got "man flu"

will make you a "Lem Sip.... maybe even a hot toddy".... need to figure out ^^^^^^ and keep your neighbour on his toots!
markr
 
  3  
Reply Tue 21 Oct, 2008 01:25 pm
@Izzie,
Now I'm afraid to answer...

<meekly> How about 4 and 13?
Izzie
 
  3  
Reply Tue 21 Oct, 2008 04:12 pm
@markr,
(I think you may be right ..... but I have no understanding how it figures out.... even with the explanation..... not a clue.... not even a detailed explanation makes any sense....I'll stick to being "hot toddy" maker and general chatterbox)
0 Replies
 
Tryagain
 
  2  
Reply Thu 23 Oct, 2008 08:18 am
Once every decade or so I come on and say, “I am sorry I made a mistake.” However, this is not one of those decades, although it may be called an oversight or even careless; no, I think careless is going overboard…

I am sorry for the delay in confirming the answer; I saw Lizzie had posted some days ago and thought there had been no response since then. Had I known that you two had been going at it like Possums in springtime I could have expedited matters " My bad!


Mark:

NUMBERS
How about 4 and 13 Cool Cool Cool

First, create a list of all your possible pairs and write them out with their sums and products as well. I believe there are (97*97 + 97)/2 = 4753 such pairs, right? (I am ignoring the "sum < 100" hint.)

2,2,4,4
2,3,5,6
2,4,6,8
2,5,7,10
2,6,8,12
...
3,3,6,9
3,4,7,12
...
4,4,8,16
4,5,9,20
...
etc.


Step 1) We know it is not a pair of primes, or Mr. P would know them immediately from the product.
So eliminate all those from the possibilities, but keep them in a new list of "Prime Pairs" for future reference.

Step 2) We know it is not a pair whose sum could also come from a pair of primes, or S would not be sure that P doesn't know. So check the list of Prime Pairs and get a listing of all the sums. Now eliminate any pairs in the Possibilities that have a sum in that list. So here for example, you lose 3,4 because it has the same sum as the prime pair 2,5.

Step 3) Now, we know that with this information and knowing the product, Mr. P knows the answer, so therefore the product must only have one pair of possible multiplicants whereby their sum cannot be expressed as the sum of a pair of primes. So find the list of products that were eliminated in Step 2. Now find all the remaining Possibilities that share one of those same products and only have one pair left that makes that product. These are the only products Mr. P could have.

Step 4) If there is more than one possibility left, your last step is to go through all the Possibilities eliminated in Step 3, and check their sums. Now find all the remaining Possibilities that share one of those same sums and only have one pair left that makes that sum. These are the only sums Mrs. S could have.

Hopefully at this point you are left with only 1 possible pair, and that is your solution. (4,13)



iwnhg Question
thpls Question
tomap Question
Izzie
 
  3  
Reply Thu 23 Oct, 2008 11:26 am
@Tryagain,
Izzie wrote:

but I have no understanding how it figures out.... even with the explanation..... not a clue.... not even a detailed explanation makes any sense....


ditto what that^^^^^^^ said Rolling Eyes Thanks for trying... can't get my head around it tho. My bad a? Hey ho.

Tryagain wrote:

Once every decade or so I come on and say, “I am sorry I made a mistake.” However, this is not one of those decades, although it may be called an oversight or even careless; no, I think careless is going overboard…

I saw Lizzie had posted some days ago


mmmmmmmmmmmmm

careless spelling....tsk tsk tsk!!!!!! One of those decades a? Wink



HA HA HA HA HA HA HA HA HA HA!



iwnhg = whining...... never

thpls = plinths..... need cleaning

tomap Question mmmmmmmmmmmm .......???? maintop pintoma .. looks like a pantomime or a panto of mine .... paint om.... ma point ... what is ma point... there is no point.... into map.... sheesh, draw me a map - I can't see it at all... who knew... not me! NEXT...

mis.... Stormy.... anyone?



<oh gosh... have I gone mad!> Shocked


TTH
 
  3  
Reply Thu 23 Oct, 2008 12:00 pm
@Izzie,
Izzie wrote:
tomap Question mmmmmmmmmmmm .......???? maintop pintoma .. looks like a pantomime or a panto of mine .... paint om.... ma point ... what is ma point... there is no point.... into map.... sheesh, draw me a map - I can't see it at all... who knew... not me! NEXT...

mis.... Stormy.... anyone?
I will be anyone Laughing
I vote for maintop (it is a nautical term)
0 Replies
 
Tryagain
 
  2  
Reply Fri 24 Oct, 2008 09:15 am
[it may be called an oversight or even careless; no, I think careless is going overboard…]

‘I saw Lizzie had posted some days ago’

Was it a pun, or a typographical malfunction? Wink


Lzzie:

iwnhg = whining Cool

thpls = plinths Cool

tomap = maintop Cool

Way to go gal! Razz



Someone: AKA = TTH (some say; Island Girl)
I vote for maintop (it is a nautical term) Cool

Well, shiver my timbers! Very Happy



ejors Question
tefar Question
cpres Question
TTH
 
  2  
Reply Fri 24 Oct, 2008 01:13 pm
@Tryagain,
Tryagain wrote:
ejors Question
joiners
Tryagain wrote:
tefar Question
fainter
Tryagain wrote:
cpres Question
princes
......just guessing
0 Replies
 
jove
 
  2  
Reply Fri 24 Oct, 2008 05:35 pm
@Tryagain,
Try wrote; "do feel free to post a pic!"

I will post a clothed pic of me , if you will also ,,,you first,,,(chews nail and wonder's if Try will let down his guard for a second to post a pic). There is one draw-back, we might fall in love with you even more, but don't let that stop you,,,o.k?

"can I watch with you?" yes, i'm a sucker for you!
Stormwatch
 
  3  
Reply Sat 25 Oct, 2008 08:04 pm
@jove,
It's been kinda quiet here...what's everyone been up to?

This is what I did today:

fpesutmipvkal
Dutchy
 
  2  
Reply Sat 25 Oct, 2008 09:14 pm
@Stormwatch,
Pumpkin Festival?
Stormwatch
 
  2  
Reply Sun 26 Oct, 2008 09:08 am
@Dutchy,
Dutchy:
Pumpkin Festival? Cool

...and got rained on Laughing Laughing
0 Replies
 
Tryagain
 
  2  
Reply Sun 26 Oct, 2008 09:23 am
TTH:

ejors = joiners Cool
tefar = fainter Cool
cpres = princes Cool


Congrats TTH you have all bases loaded, now for the home run…

kbled Question
acgoe Question
dishg Question



Ok Jove, I will play trick or treat with you; I have got the picture as far as ‘Flicker’ and if I can figure out how to get it here…It will be done! However, it is only polite to let ladies go first.

Btw: Are you looking for a little succor too? Wink


Stormy; how very nice to see you back, I was getting somewhat anxious for your wellbeing.


Stormwatch
 
  2  
Reply Sun 26 Oct, 2008 09:33 am
@Tryagain,
Quote:
Stormy; how very nice to see you back, I was getting somewhat anxious for your wellbeing.


Given who I have on my caseload this year ...I worry about my well being too Drunk
0 Replies
 
TTH
 
  2  
Reply Sun 26 Oct, 2008 10:00 am
@Tryagain,
Tryagain wrote:
kbled Question
blinked
Tryagain wrote:
acgoe Question
coinage
Tryagain wrote:
dishg Question
shindig
It's too early in the morning for me. Maybe I shouldn't stay out so late (yawn)
Hi Stormwatch Very Happy
0 Replies
 
Tryagain
 
  2  
Reply Mon 27 Oct, 2008 11:39 am
TTH:

kbled = blinked Cool
acgoe = coinage Cool
dishg = shindig Cool


Wow, TTH; you are the man " in a female kinda way. Razz
0 Replies
 
Tryagain
 
  1  
Reply Wed 29 Oct, 2008 05:18 pm
Each square of a four by four checkerboard is to be labeled with a zero or a one in such a way that the sum of the entries in the neighborhood of each square is always odd -- the neighborhood being the squares immediately adjacent (up, down, right, left, and diagonally) together with the square itself.

Come up with as many ways of doing this as possible, or show that it can never be done Question

1010
0101
0101
1011

For example, the checkerboard above fails to satisfy the condition since the square in the top left corner has a neighborhood sum of 2. Shocked
markr
 
  2  
Reply Wed 29 Oct, 2008 09:14 pm
@Tryagain,
1001
0000
0000
1001

is the only solution
0 Replies
 
jove
 
  2  
Reply Thu 30 Oct, 2008 05:53 am
@Tryagain,
Try wrote; " ladies go first."

O.k. i will post a pic, but it will take a day or two,,, and then you,,, so i can ~dream.

Btw: Are you looking for a little succor too?

Maybe.
Tryst
 
  1  
Reply Fri 31 Oct, 2008 03:57 pm
@jove,
Jove hun, dump that try guy and come Dance With The Devil… Twisted Evil
 

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