Question

fun question :)))

Answer 1

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)

Answer 2

(2, 3) or (99, 98)

Answer 3

@ganeshie8 yes u r correct but there are some more answers.

Answer 4

really ?

Answer 5

yes :)

Answer 6

Alright! let me think a bit :)

Answer 7

ok :)

Answer 8

this question is all about ur thinking power.

Answer 9

i'll be posting the answer after 3-4hours if no one gets it.

Answer 10

Also (3, 4) and (98, 97). These are all the solutions I think

Answer 11

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.

Answer 12

congo @ganeshie8 u got the correct answer

Answer 13

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.. .

Answer 14

Ahhh ok I understand your first two answers now, but what about (3,4) and (98,97) ?

Answer 15

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.

Answer 16

correct reasoning well done @ganeshie8

Answer 17

Ahhhh I see, very tricky. Thank @imqwerty for such a fun problem! :D

Answer 18

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

Answer 19

What if he had told the two boys I've given you two consecutive numbers mod 100?

Answer 20

I guess what I'm asking is, do we no longer have the ability to draw any conclusions?

Answer 21

Lol that's good, thanks for sharing.

Answer 22

mah pleasure

Answer 23

Isn't it open to more possibilities I would think there are

Answer 24

2,3 98, 99 just some first options

Answer 25

looks there are exactly four ordered pairs, you found two of them