imqwerty
  • imqwerty
fun question :)))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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imqwerty
  • imqwerty
i called 2 boys qwerty and lenny and gave them 2 chits. i told them that i wrote 2 consecutive numbers on their chits and those numbers lie anywhere in this set - [1,100].i told them to guess each others number.then the following conversation took place.- qwerty :- lenny, i dont know your number lenny :- i don't your number too. qwerty :-now i know your number. now u have to tell what numbers did qwerty and lenny get.(there are more than 1 answers)
ganeshie8
  • ganeshie8
(2, 3) or (99, 98)
imqwerty
  • imqwerty
@ganeshie8 yes u r correct but there are some more answers.

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More answers

ganeshie8
  • ganeshie8
really ?
imqwerty
  • imqwerty
yes :)
ganeshie8
  • ganeshie8
Alright! let me think a bit :)
imqwerty
  • imqwerty
ok :)
imqwerty
  • imqwerty
this question is all about ur thinking power.
imqwerty
  • imqwerty
i'll be posting the answer after 3-4hours if no one gets it.
ganeshie8
  • ganeshie8
Also (3, 4) and (98, 97). These are all the solutions I think
Empty
  • Empty
I have no idea how (2, 3) or (99, 98) are answers. Am I missing something? I think I've heard this sorta riddle before but I don't remember it. My guess is that if one of them had 1 or 100 then one of them would know the other person's number. So any pair of consecutive numbers between (2,3) and (98,99) make sense to me as possibilities.
imqwerty
  • imqwerty
congo @ganeshie8 u got the correct answer
ganeshie8
  • ganeshie8
If qwerty has 2, then lenny must be having either 1 or 3 It is clear to qwerty that lenny is not having 1 when lenny said he doesn't know the other number. So qwerty concludes that lenny must be having 3.. .
Empty
  • Empty
Ahhh ok I understand your first two answers now, but what about (3,4) and (98,97) ?
ganeshie8
  • ganeshie8
exact same reasoning : If qwerty has 3, then lenny must be having either 2 or 4 Lenny knows that qwety is not having 1 or 100 because qwerty first revealed that he doesn't know the number. So if Lenny has 2, lenny would have known that the other number is 3 at this point.
imqwerty
  • imqwerty
correct reasoning well done @ganeshie8
Empty
  • Empty
Ahhhh I see, very tricky. Thank @imqwerty for such a fun problem! :D
ganeshie8
  • ganeshie8
I remember we working on \(\href{ http:///math.stackexchange.com/questions/1125082/a-puzzle-about-a-sum-and-product-of-two-numbers }{this}\) problem here some days back which looks very similar
Empty
  • Empty
What if he had told the two boys I've given you two consecutive numbers mod 100?
Empty
  • Empty
I guess what I'm asking is, do we no longer have the ability to draw any conclusions?
Astrophysics
  • Astrophysics
Lol that's good, thanks for sharing.
imqwerty
  • imqwerty
mah pleasure
xapproachesinfinity
  • xapproachesinfinity
Isn't it open to more possibilities I would think there are
xapproachesinfinity
  • xapproachesinfinity
2,3 98, 99 just some first options
ganeshie8
  • ganeshie8
looks there are exactly four ordered pairs, you found two of them

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