Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Fool's problem of the day,
How many ordered pair of \((x,y)\) are there such that \(x, y \in \mathbb{Z} \) and \( \frac 2 x  \frac 3 y = \frac 1 4 \)
Good luck!
 one year ago
 one year ago
Fool's problem of the day, How many ordered pair of \((x,y)\) are there such that \(x, y \in \mathbb{Z} \) and \( \frac 2 x  \frac 3 y = \frac 1 4 \) Good luck!
 one year ago
 one year ago

This Question is Closed

ParthKohliBest ResponseYou've already chosen the best response.0
Oops, maybe this involves some trial and error :P
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
What is \(\mathbb{Z}\) in here?
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
http://en.wikipedia.org/wiki/Integer
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
This works with 8 and 6
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
If b is 8 then a will be 16
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
I see a lot of solutions to this :/
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
Not many, less than 25 I believe ;)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
24 or 23 or 22.. I guess
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
The minimum of b is I guess 36 maximum is 84
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
Don't guess, try to form a analytic approach :)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Oh wait, it goes further.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Your problem is hard.
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
No spoiler please :)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
How do we do it by the way?
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
It's problem of the day, it's supposed to be interesting. However my approach takes less than 10 seconds ;) I will post it later though.
 one year ago

Arnab09Best ResponseYou've already chosen the best response.0
is the answer 5? @FoolForMath ?
 one year ago

Arnab09Best ResponseYou've already chosen the best response.0
okay, we can get after simplification.. x=8y/(y+12) as x is an integer, 8y must be a multiple of y+12 8y=2*2*2*y so, here are possible equations y+12=1 y+12=2 y+12=4 y+12=8 y+12=2y y+12=4y y+12=8y as y +12 is a factor of 8y all the equations except the last one will satisfy for an integral value of y so, the answer is.. 6 ordered pairs
 one year ago

Arnab09Best ResponseYou've already chosen the best response.0
sorry, there will be other options too if RHS is negative y+12=1 y+12=2 ................. and so on.. for y to be an integer, there are another 5 solutions so, total 11
 one year ago

rfig.khalilBest ResponseYou've already chosen the best response.0
the equation is equivalent to (x8)*(y+12)=96 so the answer is 11
 one year ago

rfig.khalilBest ResponseYou've already chosen the best response.0
is all the way wrong or just the 11?
 one year ago

rfig.khalilBest ResponseYou've already chosen the best response.0
I m pretty sur it's 22
 one year ago

rfig.khalilBest ResponseYou've already chosen the best response.0
is 24 correct answer.?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
No, you are close by the way
 one year ago

joemath314159Best ResponseYou've already chosen the best response.3
I was able to find 11 ordered pairs that are solutions: (7, 84) (6,36) (5,20) (4,12) (2,4) (4,4) (8,6) (16,8) (24,9) (40,10) (88,11) I think there might be more, but im missing an idea.
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
HINT: There are 23 of them.
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
Real challenge is to find a quick analytic approach :)
 one year ago

joemath314159Best ResponseYou've already chosen the best response.3
yeah i just found the other 12, making 23.
 one year ago

joemath314159Best ResponseYou've already chosen the best response.3
Most people probably got that:\[8y12xxy = 0\]There is a way you can factor this to get an idea of how many solutions there are...
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.0
That's right joe! Congrats man!
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.