can number be predicted?

[tdth]

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:
123
346
534

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:
123
346
534
qqq--->new number
kkk--->new numer
abcd

and he asked me to sum up these 5 lines of 3-digit number:
123+346+534+qqq+kkk
and 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]

tdth,

Let me ask, did you uncle tell what the four digit number was before you exposed
the 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 pairs
and your uncle could sum it up quickly. So if there is a big todo about an envelope,
you know there is a switch...

Maddog

[KickAssClown]

Looks like a matrix problem to me. I like matrices but I can't remember the in's and out's of them...


123
346
534
qqq
nnn

if we had the sequence:
123
346
534
987
395

we have the awnser: 2385... I think.

[Thelonious]

Originally Posted by KickAssClown

if we had the sequence:
123
346
534
987
395

we have the awnser: 2385... I think.

But the last two three-digit numbers have to have different repeating digits like 111 and 222.

[KickAssClown]

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]

Thank all of you
But 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]

Originally Posted by tdth

Thank all of you
But 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]

___I suggest you ask your mischevous Uncle to explain. Whatever his trick, your knowledge is not advanced unless he shares it.

[maddog]

I Thelonius hit my point exactly. Your mischevious Uncle was being a bit tricky and maybe
you can call him on it.

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 do
last 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 is
my fathers son".

So what was the relation of the convict to the priest ?

Maddog

[tdth]

Father is uncle of the convict, right?