tdth Posted February 18, 2005 Report Posted February 18, 2005 Hi everyone, I have one question for you. This is a quite long story.4 years ago, my uncle asked me this question, and I did not get the answer until now.First of all, y uncle asked me to write down 3 lines of 3-digits number,for example:123346534 next, he kept 2 lines below, and write down the number:for example:3244 ( let's say that 'abcd')next, he asked me to write down 2 lines of 3-digit numer in the 2 empty line above.so, it will be like this:123346534qqq--->new numberkkk--->new numerabcd and he asked me to sum up these 5 lines of 3-digit number:123+346+534+qqq+kkkand the result I got was exactly equal to abcd.It means that my uncle only based on the first three numbers to predict the sum of five numbers. My uncle asked me to explain how can he do that. And I don't know why.Can anyone tell me?
maddog Posted February 18, 2005 Report Posted February 18, 2005 tdth, Let me ask, did you uncle tell what the four digit number was before you exposedthe pair of three digit numbers. No matter what 3digit pairs you picked was the 4digit number always 3244. See the trio sum of 123 + 346 + 534 = 1003. You could write down 2 3digit pairsand your uncle could sum it up quickly. So if there is a big todo about an envelope,you know there is a switch... :D Maddog
IDMclean Posted February 18, 2005 Report Posted February 18, 2005 Looks like a matrix problem to me. I like matrices but I can't remember the in's and out's of them... 123346534qqqnnn if we had the sequence:123346534987395 we have the awnser: 2385... I think.
Thelonious Posted February 18, 2005 Report Posted February 18, 2005 if we had the sequence:123346534987395 we have the awnser: 2385... I think. But the last two three-digit numbers have to have different repeating digits like 111 and 222.
IDMclean Posted February 18, 2005 Report Posted February 18, 2005 oh ok. In that case it's a definate Matrix Problem. I remember when I first learned Matrices I came home and showed my mom cause she's a Statitisics major and never learn Matrices. She thought it was niffty but I'm not up to snuff anymore. It's really simple though.
tdth Posted February 18, 2005 Author Report Posted February 18, 2005 Thank all of youBut the number that I posted, as I said, are for example purpose only. So, you should not deal with them anymore. And I don't quite understand what Maddog said. Could you explain to me? Thank again
Thelonious Posted February 19, 2005 Report Posted February 19, 2005 Thank all of youBut the number that I posted, as I said, are for example purpose only. So, you should not deal with them anymore. And I don't quite understand what Maddog said. Could you explain to me? Thank again I believe he meant that your uncle was just adding them up in his head with the knowledge of the sum of the first three ahead of time. That way it would take no time to find the result.
Turtle Posted February 19, 2005 Report Posted February 19, 2005 ___I suggest you ask your mischevous Uncle to explain. Whatever his trick, your knowledge is not advanced unless he shares it. :xx:
maddog Posted February 20, 2005 Report Posted February 20, 2005 I Thelonius hit my point exactly. Your mischevious Uncle was being a bit tricky and maybeyou can call him on it. :o My Grandfather gave me story (as he loved stories). There was a convict to get last rites before his execution. As the Father came in to dolast rites, he said, "I can not give this man last rites". The warden asked him, "Why not ?" The Father responded, "Brothers and sisters I have none. This man's father ismy fathers son". So what was the relation of the convict to the priest ? :o Maddog
tdth Posted February 21, 2005 Author Report Posted February 21, 2005 Father is uncle of the convict, right?
maddog Posted February 21, 2005 Report Posted February 21, 2005 Father is uncle of the convict, right?"Brothers and sisters I have none. This man's father is my fathers son"If he had no brother nor sister how could he be the uncle ? Maddog
maddog Posted February 21, 2005 Report Posted February 21, 2005 He is the father of the convict.That would be correct. He apparently had the son before he became a priest. :( Maddog
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