The Magic Box

well, when i add up the divisors of 200, i get 265...but when i add up those divisors i don't get 200....

so.. you want me to tell you the answer? 🙄

NO! absolutely not! 😛 i will not admit defeat...i'm just feeling a bit confused w/ the whole bible thing...cuz if 200 has nothing to do w/ it...then why did you have me read that chapter?

because the answer was there! and the chapter is very much related in the problem... 🙄 i think 😛

you think 😛 well, i really think i should have figured this one out by now...but, since i havn't, don't even think about telling me the answer! cuz i'm gunna get it! 🙂

ok.. i'll wait for that 🙄

and good luck then 😄

😎

Keepin' dis up.. for Lianslo 😎

thanx bud! 😄

and...i think...i may have it! *crosses fingers*

x=220
y=284

💃 👆 you got it right, dear! *claps*

Now, I'll tell you what...

The Pythagoreans during those ancient times identified the number 220 as the 'friendly number'...

What made it friendly? 🙄

Well, 220, unlike most numbers, had a close friend, 284. Each are equal to the sum of the proper divisors of the other.

Proper divisors are all the numbers that divide evenly into a number, including 1 but excluding the number itself.

The proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110.

Add all those numbers and you'll get 284.

Likewise, the proper divisors of 284 are 1, 2, 4, 71, and 142 and they sum to 220.

So, what is the relation of the Genesis Chapter 32?

It was a relevant clue ✅

In Genesis 32:14, Jacob gives Esau 220 goats, that is, two hundred she goats and twenty he goats ...
... as a gesture of friendship.

Well? 🙄 Thanks for having time with this, my FRIEND 😉

😎

lol, of course, always time for a math problem from one of my good FRIENDS! 😄

but that Genesis 32 thing is rather interesting...

😉 indeed.

..got to think of more problems 🙂

See you next time. 😎

wavey Paalam!

your leaving me already? alright...well...ba-bye!

perhaps when you come back i'll have a problem for you! 🙂

ok 😉

see yah 😎

alright Jury...you're sticking aroundt to meet my challenge...so here it is! (this prolly isn't the best problem, but it was the first one i could find!)

A string that is L inches long is cut into two pieces w/ one twice as long as the other. The long piece is used to make a square and the short one is used to make a circle. What is the ratio of the area of the square to the area of the cirlce?

😮 i almost forgot my algebra 😄

i solved it twice but i always get 16PI ... 😕

and I know it's not the answer.

*got to solve it again*

your right, thats not the answer...just keep solving! 🙂

hey i've done it in three processes but i always get 16PI...

i can't concentrate about it... you know what's wrong with me? i always under-estimate problems... and couldn't still overcome it...

but i know i can solve that one... i hope...

*got to find my algebra notes* 😛

😮 now I got 4PI 🙁 sweat

when you say 16PI, do you mean 16PI : 1? cuz i need a ratio answer...and could you make sure you reduce it...cuz otherwise i have to try and figure out if its the right answer, just not reduced 😛 (but just tell me if you want a hint 😉)

i think i'm gunna go to bed tho...its once again nearing 1 am, and i can only stay up so late, so many nights in a row! but i also thought i'd tell you that i'm leaving for vacation tomorrow...i still might be able to be on sometimes, i'm just not sure how much. But i'll definately miss ya! 🙂 PM me sometime! 😄 goodnight! 🙂

night 😄 but now, i solved it the fifth time and a got 4PI:1 the second time around...

but don't worry.. i'll be doin' it 😉 😄

😎

nights