Siblings puzzle

mileydog · 03-12-2010, 03:15 PM

Ryan, Darren, and Miley are siblings in a competition. Here are their results:

The youngest person received the least points.
Darren got half of the points of the eldest.
Miley received as many points as both others combined.

Question:
Who is the eldest ?

Kroy · 03-12-2010, 04:12 PM

Is there enough info? I'm inclined to say Miley is the eldest and both Darren and Ryan got half his score. But problem states youngest person received the least points...

mileydog · 03-12-2010, 04:19 PM

Yes there is enough info to determine the oldest.

UltimateBMW · 03-12-2010, 04:27 PM

Sorry but I agree in that there isn't enough information present. With no mention of either Ryan or the middle child you can not with 100% certainty claim an eldest sibling.

The case of twins makes it ambiguous.

boymonkey · 03-12-2010, 04:29 PM

Darren and Miley are the eldest. They are twins. Ryan is the youngest and got zero points.

burberry · 03-12-2010, 04:35 PM

Quote:

Originally Posted by boymonkey

Darren and Miley are the eldest. They are twins. Ryan is the youngest and got zero points.

confusing

mileydog · 03-12-2010, 04:37 PM

Quote:

Originally Posted by boymonkey

Darren and Miley are the eldest. They are twins. Ryan is the youngest and got zero points.

Wrong.

boymonkey · 03-12-2010, 04:37 PM

Quote:

Originally Posted by mileydog

Wrong.

Then I don't know. LOL

mileydog · 03-12-2010, 04:40 PM

Start with statement #2 which tells us that Darren is not the eldest.

So the eldest must be either Ryan or Miley.

Statement #3 tells us that Miley received the sum of the other two people’s points, and those point totals are not equal, per statement #1

(the youngest has less points than the other two).

Now for Miley to be the eldest, Ryan and Darren would each have half of the points of Miley has, but we know they can’t have the same amount of points (per #1).

Therefore, Miley must have the most points, and Darren must be the youngest, but Ryan is the eldest.

burberry · 03-12-2010, 04:42 PM

nvm ic. read the question completely wrong

mileydog · 03-12-2010, 04:43 PM

No. Points do not equal age. More points does not correlate to more years in age.

burberry · 03-12-2010, 04:44 PM

Quote:

Originally Posted by mileydog

No. Points do not equal age. More points does not correlate to more years in age.

haha that's what i thought initially

boymonkey · 03-12-2010, 04:47 PM

Ryan is a dumbass.

MontegoGoGoGo · 03-12-2010, 05:15 PM

It's all relative.

Memphis1 · 03-12-2010, 05:56 PM

Quote:

Originally Posted by mileydog

Start with statement #2 which tells us that Darren is not the eldest.

So the eldest must be either Ryan or Miley.

Statement #3 tells us that Miley received the sum of the other two people’s points, and those point totals are not equal, per statement #1

(the youngest has less points than the other two).

Now for Miley to be the eldest, Ryan and Darren would each have half of the points of Miley has, but we know they can’t have the same amount of points (per #1).

Therefore, Miley must have the most points, and Darren must be the youngest, but Ryan is the eldest.

Miley is the oldest. #1 contradicts #3 in your solution.

3lusive · 03-12-2010, 07:36 PM

Quote:

Originally Posted by memphis2012

Miley is the oldest. #1 contradicts #3 in your solution.

+1 Seems to be this way. Since the question doesn't ask for anything else...obviously if Miley has the combined total of Darren and Ryan then she must have the most.

boymonkey · 03-12-2010, 07:39 PM

Quote:

Originally Posted by 3lusive

+1 Seems to be this way. Since the question doesn't ask for anything else...obviously if Miley has the combined total of Darren and Ryan then she must have the most.

She has the most points but it doesn't make her the oldest. The question doesn't say that the eldest had the most points. I made the same assumption as well.

3lusive · 03-12-2010, 11:07 PM

Quote:

Originally Posted by boymonkey

She has the most points but it doesn't make her the oldest. The question doesn't say that the eldest had the most points. I made the same assumption as well.

HA I retract my statement. Good observation...

addy85 · 03-13-2010, 12:11 AM

I remember a similiar question when I took the LSAT.

Hawkeye · 03-13-2010, 11:28 AM

Quote:

Originally Posted by mileydog

Ryan, Darren, and Miley are siblings in a competition. Here are their results:

The youngest person received the least points.
Darren got half of the points of the eldest.
Miley received as many points as both others combined.

Question:
Who is the eldest ?

Obviously Daren is not the eldest from #2.
Miley got as many points as the other two combined. This could happen 3 ways.

1. The other two got the same # of points, which contradicts #1.
2. Ryan got less than Darren. This would make Ryan the youngest. Then darren would have x points, ryan would have x - y points and mailey would have 2x - y points. This contradicts #2 as there is nobody with 2x points.
3. Ryan got more than Darren. If this is the case then Darren is the youngest and Ryan is the eldest. Miley would not be the eldest cause if Darren got x points and ryan got more, say x + y points then Miley would have gotten 2x + y points and is not the eldest from point #2. That would leave Ryan to be the eldest.

Thus, Ryan is the oldest.

burberry · 03-13-2010, 12:17 PM

any more?

Memphis1 · 03-13-2010, 12:59 PM

that puzzle wasn't thought thru. there's no right answer.

#1 requires a three tier point answer, e.g. 4,5,10 NOT 5,5,10
#3 doesnt mean miley has exactly twice as much as the other two kids, it just says as many points as the other two combined which could mean more than the other two, e.g 9,15,30 or 14,15,30 and NOT 15, 15, 30

so in that case, if darren has 15 points, the eldest(ryan) has 30, and miley(middle child) would have 45 or more

but if you assume miley is the eldest with 30 points, darren(middle child) has 15 and ryan (youngest) has 14 or less.

03-12-2010, 03:15 PM	#1
mileydog Private 27 Rep 81 Posts Drives: E92 AW Join Date: Apr 2009 Location: CA iTrader: (0)	Siblings puzzle Ryan, Darren, and Miley are siblings in a competition. Here are their results: The youngest person received the least points. Darren got half of the points of the eldest. Miley received as many points as both others combined. Question: Who is the eldest ?
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03-12-2010, 04:27 PM	#4
UltimateBMW Brigadier General 425 Rep 3,287 Posts Drives: MP4 Join Date: Dec 2006 Location: South iTrader: (0)	Sorry but I agree in that there isn't enough information present. With no mention of either Ryan or the middle child you can not with 100% certainty claim an eldest sibling. The case of twins makes it ambiguous. __________________ Last edited by UltimateBMW; 03-12-2010 at 04:33 PM..
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03-12-2010, 04:29 PM	#5
boymonkey Lieutenant 41 Rep 530 Posts Drives: slow Join Date: Apr 2007 Location: Canada iTrader: (0)	Darren and Miley are the eldest. They are twins. Ryan is the youngest and got zero points.
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03-12-2010, 04:40 PM	#9
mileydog Private 27 Rep 81 Posts Drives: E92 AW Join Date: Apr 2009 Location: CA iTrader: (0)	Start with statement #2 which tells us that Darren is not the eldest. So the eldest must be either Ryan or Miley. Statement #3 tells us that Miley received the sum of the other two people’s points, and those point totals are not equal, per statement #1 (the youngest has less points than the other two). Now for Miley to be the eldest, Ryan and Darren would each have half of the points of Miley has, but we know they can’t have the same amount of points (per #1). Therefore, Miley must have the most points, and Darren must be the youngest, but Ryan is the eldest.
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03-12-2010, 04:42 PM	#10
burberry Caffeine Addict 46 Rep 1,987 Posts Drives: E93 M3 Join Date: Nov 2009 Location: Brooklyn, NY iTrader: (3)	nvm ic. read the question completely wrong __________________ '07 E90 335xi ► '09 E90 335i ► '08 E93 M3 ► ???
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03-12-2010, 04:12 PM	#2
Kroy Brigadier General 177 Rep 3,032 Posts Drives: E90 Join Date: Jul 2009 Location: Los Angeles, CA iTrader: (1)	Is there enough info? I'm inclined to say Miley is the eldest and both Darren and Ryan got half his score. But problem states youngest person received the least points...
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03-12-2010, 04:19 PM	#3
mileydog Private 27 Rep 81 Posts Drives: E92 AW Join Date: Apr 2009 Location: CA iTrader: (0)	Yes there is enough info to determine the oldest.
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03-12-2010, 04:43 PM	#11
mileydog Private 27 Rep 81 Posts Drives: E92 AW Join Date: Apr 2009 Location: CA iTrader: (0)	No. Points do not equal age. More points does not correlate to more years in age.
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03-12-2010, 04:47 PM	#13
boymonkey Lieutenant 41 Rep 530 Posts Drives: slow Join Date: Apr 2007 Location: Canada iTrader: (0)	Ryan is a dumbass.
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03-12-2010, 05:15 PM	#14
MontegoGoGoGo I'm kind of a bitch 398 Rep 895 Posts Drives: Montego/Cream E93 Join Date: Jan 2009 Location: St. Louis & St. Petersburg iTrader: (0) Garage List 2007 E93 [0.00]	It's all relative. __________________ E93: Montego/Cream <---- E46 (Coupe): JB/Black <---- E30 (Cabrio): Alpine White/Black
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03-13-2010, 12:11 AM	#19
addy85 Got beef? 148 Rep 3,644 Posts Drives: E90 335i Join Date: Oct 2007 Location: Arlington Texas iTrader: (4) Garage List 2007 335i [0.00]	I remember a similiar question when I took the LSAT. __________________ Special Thanks to AU335
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03-13-2010, 12:17 PM	#21
burberry Caffeine Addict 46 Rep 1,987 Posts Drives: E93 M3 Join Date: Nov 2009 Location: Brooklyn, NY iTrader: (3)	any more? __________________ '07 E90 335xi ► '09 E90 335i ► '08 E93 M3 ► ???
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03-13-2010, 12:59 PM	#22
Memphis1 Lieutenant Colonel 97 Rep 1,838 Posts Drives: Z4 SDrive 35i Join Date: Oct 2009 Location: CT iTrader: (0)	that puzzle wasn't thought thru. there's no right answer. #1 requires a three tier point answer, e.g. 4,5,10 NOT 5,5,10 #3 doesnt mean miley has exactly twice as much as the other two kids, it just says as many points as the other two combined which could mean more than the other two, e.g 9,15,30 or 14,15,30 and NOT 15, 15, 30 so in that case, if darren has 15 points, the eldest(ryan) has 30, and miley(middle child) would have 45 or more but if you assume miley is the eldest with 30 points, darren(middle child) has 15 and ryan (youngest) has 14 or less. __________________
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