How many pencils and how many jars I have?

For the discussion of math. Duh.

Moderators: gmalivuk, Moderators General, Prelates

iavinash
Posts: 4
Joined: Thu Jan 28, 2016 6:04 pm UTC

How many pencils and how many jars I have?

Postby iavinash » Thu Jan 28, 2016 6:19 pm UTC

I have some pencils and some jars
If I put 9 pencils into each jar I will have two jars left over
If I put 6 pencils into each jar I will have three pencils left over

How many pencils and how many jars I have?

Thanks
Avinash

User avatar
gmalivuk
GNU Terry Pratchett
Posts: 26738
Joined: Wed Feb 28, 2007 6:02 pm UTC
Location: Here and There
Contact:

Re: How many pencils and how many jars I have?

Postby gmalivuk » Thu Jan 28, 2016 10:16 pm UTC

iavinash wrote:I have some pencils and some jars
If I put 9 pencils into each jar I will have two jars left over
If I put 6 pencils into each jar I will have three pencils left over

How many pencils and how many jars I have?

Thanks
Avinash

This is obviously a homework question.

What have you tried to do already? What part of the problem is confusing you?
Unless stated otherwise, I do not care whether a statement, by itself, constitutes a persuasive political argument. I care whether it's true.
---
If this post has math that doesn't work for you, use TeX the World for Firefox or Chrome

(he/him/his)

User avatar
PM 2Ring
Posts: 3707
Joined: Mon Jan 26, 2009 3:19 pm UTC
Location: Sydney, Australia

Re: How many pencils and how many jars I have?

Postby PM 2Ring » Sat Jan 30, 2016 6:04 am UTC

Pity you don't have two more jars: you could put a certain number of pencils into each jar, with no pencils left over.

User avatar
Flumble
Yes Man
Posts: 2235
Joined: Sun Aug 05, 2012 9:35 pm UTC

Re: How many pencils and how many jars I have?

Postby Flumble » Sat Jan 30, 2016 1:04 pm UTC

PM 2Ring wrote:Pity you don't have two more jars: you could put a certain number of pencils into each jar, with no pencils left over.

The obvious solution is to eat all the pencils, so you can equally divide them among the jars without needing extra jars.

If you put the two leftover jars into the three leftover pencils, then stick a couple of pencils up your nose, you'll need three more jars to put the same number of pencils into each jar as you had jars. But don't stick the pencils too deep.

Cradarc
Posts: 455
Joined: Fri Nov 28, 2014 11:30 pm UTC

Re: How many pencils and how many jars I have?

Postby Cradarc » Sat Jan 30, 2016 11:01 pm UTC

Guys this is actually a rather complicated problem.
First of all, notice that after putting 9 pencils in each jar, he still has 2 jars left over. If leftover jars are the ones that do not contain pencils, where did the 18 pencils in those two jars go? Clearly there is a one-way worm hole in each of those two jars that transports the pencils placed inside into two other jars. We are then told something even stranger: If 6 pencils are placed in each jar, there are pencils left over! This means the worm-hole can only transport specific packets of pencils. Pencils can only be teleported in groups of 9.

How many jars does it take to create a worm hole in exactly two of them? What type of pencils change their properties when bundled in groups of 9? I think we need to answer these questions to solve this problem.

PM 2Ring wrote:Pity you don't have two more jars: you could put a certain number of pencils into each jar, with no pencils left over.

If they had 2 more jars, they can put 1 pencil in the first jar, 2 pencils in the second, 3 pencils in the third, etc. and have no pencils or jars left over.
This is a block of text that can be added to posts you make. There is a 300 character limit.

User avatar
Gwydion
Posts: 336
Joined: Sat Jun 02, 2007 7:31 pm UTC
Location: Chicago, IL

Re: How many pencils and how many jars I have?

Postby Gwydion » Tue Feb 02, 2016 4:37 pm UTC

Obviously there are 2 jars and 3 pencils. Putting 6 or 9 pencils into a jar is impossible, because who has that many pencils?

iavinash
Posts: 4
Joined: Thu Jan 28, 2016 6:04 pm UTC

Re: How many pencils and how many jars I have?

Postby iavinash » Sat Feb 06, 2016 11:24 am UTC

Hi All,

Am i supposed to share only puzzles/riddle that i dont know answer or i can share anything that you guys will be interested to solve.
By the way answer was

Number of jars = 7

Number of pencils = 45

Thanks,
Avinash

lorb
Posts: 405
Joined: Wed Nov 10, 2010 10:34 am UTC
Location: Austria

Re: How many pencils and how many jars I have?

Postby lorb » Sat Feb 06, 2016 11:39 am UTC

Puzzles and riddles have their own section: http://forums.xkcd.com/viewforum.php?f=3
Please be gracious in judging my english. (I am not a native speaker/writer.)
http://decodedarfur.org/


Return to “Mathematics”

Who is online

Users browsing this forum: No registered users and 9 guests