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 Brain teasers

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Tree Person
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PostSubject: Brain teasers   Fri Oct 19, 2007 1:46 am

I wonder who's a smart guy, i.e, who has a high as IQ

Try and figure this out using soley on algebra

A two digit number has its tens digit five more than two times the units (ones) digit. The number is one less than nine times the sum of its digits. What is the number?

Can't do trial and error cause that's cheap, u must show working in an algerbraric way.
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limehh
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 2:47 am

A two digit number has its tens digit five more than two times the units (ones) digit. The number is one less than nine times the sum of its digits. What is the number?

AB
A = (2B)+5
AB = 9(A + B)

Hmmm...I got that far..Smile
I have to go right now, but I'll be back Twisted Evil

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Hamster
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 3:01 am

Let x = the ones
10(2x +5) + x= 9(3x +5) -1
21x +50 = 27x +44
6 = 6x
therefore x =1
therefore units equal one
sub this into original equation
9(3 +5) -1 = 71
therefore the number is 71
pwned Razz
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 3:27 am

Hmm. I was gunna post a solution, but it involved set theory and I took too long writing <!-- comments.
Anyway.
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Tree Person
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 3:45 am

Wow, wat a smart guy, i jus cant figure out how u got 3x+5 as the sum of the digits
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rsgaurd30
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 4:37 am

well is he smart or is it the calculator?
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Hamster
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 5:51 am

Tree Person wrote:
Wow, wat a smart guy, i jus cant figure out how u got 3x+5 as the sum of the digits

Because the tens digit formula was 2x + 5 and the units formula was x
making 3x + 5
and u cant do algebra on a calculator rsguard30 >.<
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Tree Person
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 6:03 am

oh yeah... wat a tough guy... how old r u Hamster?

rsgaurd30 wrote:
well is he smart or is it the calculator?

and that is a funny comment lol!
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Hamster
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 6:05 am

17 Razz
u??
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Tree Person
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 6:18 am

15, i wrote on my profile bit
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 6:37 am

lol i cbf 2 read Razz
haha but i will anyways
haha im multi-talented like thats Razz
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limehh
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 6:55 am

I just realised you both have exactly the same amount of posts: 94.

Surprised

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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 7:12 am

not anymores
bwayhahahhahahahaha
the 17 year old wins again
bwahahhahahahahha
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 7:15 am

anyone got anyothers??
lol i wanna c if i can own all of your little brain teasers
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rsgaurd30
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 10:50 am

The "house" rolls two 20-sided dice and the "player" rolls one 20-sided dice. If the player rolls a number on his dice between the two numbers the house rolled, then the player wins. Otherwise, the house wins (including ties). What are the probabilities of the player winning?

P.S. i like casinos!
(although i am still underaged)
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rsgaurd30
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 10:50 am

Beat that Hamster!
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Tree Person
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 8:38 pm

I calculated that theres 28.5% chance that the player would win.

Am i right, or even close?
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Patxecs
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 9:29 pm

Tree Person wrote:
I calculated that theres 28.5% chance that the player would win.

Am i right, or even close?


I think it's right. I have the same number.
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rsgaurd30
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PostSubject: Re: Brain teasers   Fri Oct 19, 2007 11:59 pm

here is the answer in full.

It is easily seen that if any two of the three dice agree that the house wins. The probability that this does not happen is 19*18/(20*20). If the three numbers are different, the probability of winning is 1/3. So the chance of winning is 19*18/(20*20*3) = 3*19/200 = 57/200 or 28.5/100.
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rsgaurd30
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PostSubject: Re: Brain teasers   Sat Oct 20, 2007 12:00 am

well done. it took my ages to work it out.
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rsgaurd30
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PostSubject: Re: Brain teasers   Sat Oct 20, 2007 12:45 am

Now this should take awhile.

The winner will recieve 2000 of each resource!

Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.

When asked how many she had, she replied:

Son, I can't count past 100 but I know that.

If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be one egg left.
If you divide the number of eggs by 4 there will be one egg left.
If you divide the number of eggs by 5 there will be one egg left.
If you divide the number of eggs by 6 there will be one egg left.
If you divide the number of eggs by 7 there will be one egg left.
If you divide the number of eggs by 8 there will be one egg left.
If you divide the number of eggs by 9 there will be one egg left.
If you divide the number of eggs by 10 there will be one egg left.

Finally. If you divide the Number of eggs by 11 there will be NO EGGS left!

How many eggs did the old lady have?
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Hamster
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PostSubject: Re: Brain teasers   Sat Oct 20, 2007 10:58 pm

Okay well there r many answers 2 this question
One answer is
25201
another is 3628801
and probably many more
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PostSubject: Re: Brain teasers   Sat Oct 20, 2007 10:59 pm

and u posted the answer for the other one be4 i could even come online 2 answer its
>.>
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Tree Person
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PostSubject: Re: Brain teasers   Sat Oct 20, 2007 11:37 pm

Well the 15year old beat u to it Laughing
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rsgaurd30
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 1:18 am

yep the answer is 25201 and 3628801 and many more.
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 1:31 am

Tree Person wrote:
Well the 15year old beat u to it Laughing

lol only because the 17 year old was out at a concert having the best time of his life Razz
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Tree Person
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 3:57 am

Now the 15 year old is sad Sad
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 5:17 am

lol haha my bad
*hugs tree person*
u will be able 2 go 2 concerts someday
*gives guitar 2 tree person*
or in one Razz
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rsgaurd30
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 5:19 am

hey that guitar is made from a protected forest get him!
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 5:20 am

its alright
it's an electric guitar
forged in the fires of hell
made entirely of recycled paper Arrow
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Tree Person
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 6:24 am

Yay, a new guitar, made entirely out of recycled paper....

Anyway, atleast i can get my lisence soon, legal driving age in NZ is 15 Very Happy
That'll make up for not being at that concert
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 6:24 am

lol your L licence or your actual P licence??
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Tree Person
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 6:27 am

um... we have learners, then restricted, then fulls, i can get my restricted soon
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 6:29 am

:O
ohhhhhh go tree person
lol im still on my Learners
its 120 hours of driving here now
its taking 4eva!!!!
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Tree Person
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 6:38 am

ya well i jus hope they don't change the driving age before i get my restricted cause they're thinking about it Evil or Very Mad
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Hamster
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 7:13 am

lol haha just 2 be an ass im gonna put one of my questions on here
so that no one will be able 2 get it

4_ < x - 1
x-2


what are the possible values for x?
lol can anyone actually work it outs?
I wont accept numbers i need 2 c logical progression Very Happy
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rsgaurd30
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 7:18 am

pale
i wanna wack a number in but you said i cant . i wish i said that with my other 2.Evil or Very Mad
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 7:19 am

was there even an algebraic formula for the eggs question?? :S
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rsgaurd30
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PostSubject: Re: Brain teasers   Sun Oct 21, 2007 7:20 am

yeh i think so, cant remeber now, maybe like

x/1=1
x/2=1
etc
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PostSubject: Re: Brain teasers   Mon Oct 22, 2007 3:28 am

bwahahahha no one can even near get an answer 2 mine
and 2 think its an easy one lol!
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Tree Person
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PostSubject: Re: Brain teasers   Mon Oct 22, 2007 5:42 am

well im stumped, Embarassed gimie the answer
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PostSubject: Re: Brain teasers   Mon Oct 22, 2007 7:15 am

4_ < x - 1
x-2


4(x -2) < (x -1)(x -2)^2
4x- 8 < (x-1)(x^2 -4x +4)
4x-8 < x^3-4x^2+4x-x^2+4x-4
0 <x^3-5x^2 + 4x +4
0 < x(x^2 - 5x +4) +4
0 < x(x-4)(x-1) +4
0 < (x+4)(x-4)(x-1)
-4<x<1 or x >4

hehe go my mad maths skills ^^
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rsgaurd30
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PostSubject: Re: Brain teasers   Mon Oct 22, 2007 7:21 am

were you a straight A student who recieved heaps of sholarships?
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PostSubject: Re: Brain teasers   Mon Oct 22, 2007 7:32 am

i wish
thats basic stuff
im like 4th in my maths class :S
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Tree Person
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PostSubject: Re: Brain teasers   Tue Oct 23, 2007 12:55 am

I don't get it, i am so lost scratch

on the first line, did u times both sides by x-2 twice???
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PostSubject: Re: Brain teasers   Tue Oct 23, 2007 2:25 am

yeps
it was so that u could know that the value of x-2 was greater than zero
thats y its squared
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rsgaurd30
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PostSubject: Re: Brain teasers   Tue Oct 23, 2007 5:59 am

you lost me on the first 4 and im not even gonna try understanding how you got the final answer.

THAT IS NOT SIMPLE!
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Tree Person
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PostSubject: Re: Brain teasers   Tue Oct 23, 2007 6:04 am

Okay, i don't know, i dont no whether that is right, cant be bothered checking, i'll jus say ur too smart....
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rsgaurd30
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PostSubject: Re: Brain teasers   Tue Oct 23, 2007 6:08 am

like i said earlier, is he smart is his teacher/friend/calculator smart?
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PostSubject: Re: Brain teasers   Thu Oct 25, 2007 6:43 am

lol well im super gavin
bwahhahaha
lol does anyone watch friends??
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