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# If the average age of three people is 21 years, is the youngest older

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Math Expert
Joined: 02 Sep 2009
Posts: 49251
If the average age of three people is 21 years, is the youngest older  [#permalink]

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21 May 2016, 03:49
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Difficulty:

55% (hard)

Question Stats:

53% (00:58) correct 47% (00:47) wrong based on 38 sessions

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If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

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Math Expert
Joined: 02 Aug 2009
Posts: 6787
If the average age of three people is 21 years, is the youngest older  [#permalink]

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21 May 2016, 05:50
Bunuel wrote:
If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

Hi
average of 21 means sum of age is 21*3 = 63...

(1) The oldest is 25.
To make the youngest the least, make the other two the oldest...

so the two eldest = 25+25 = 50..
age of youngest = 63-50 =13..
so youngest will be at the least 13, so he can be 13 or >13.....
so our answer for " is the youngest older than 13" will be NO, if he is 13..
and YES, if he is >13
Insuff

(2) One person is 24.
Nothing can be said about the other two
example -
1, 24, 38----- YES
18,21,24------ NO
Insuff

Combined-
one is 25 and other is 24.. third will be 63-25-24 = 14..
ans is YES
Suff

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If the average age of three people is 21 years, is the youngest older  [#permalink]

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21 May 2016, 07:20
chetan2u wrote:
Bunuel wrote:
If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

Hi
average of 21 means sum of age is 21*3 = 63...

(1) The oldest is 25.
To make the youngest the least, make the other two the oldest...

so the two eldest = 25+25 = 50..
age of youngest = 63-50 =13..
so youngest will be at the least 13..
so our answer for " is the youngest older than 13" will always be NO
Suff

(2) One person is 24.
Nothing can be said about the other two
example -
1, 24, 38----- YES
18,21,24------ NO
Insuff

A

HI chetan , for statement 1 .. youngest is at least 13 means he can 13 or > 13 rt ?

how can we say youngest 13 here ? other two both eldest is our assumption so we are not sure whether he >13 or =13.

If we combine it's very clear .
Math Expert
Joined: 02 Aug 2009
Posts: 6787
Re: If the average age of three people is 21 years, is the youngest older  [#permalink]

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21 May 2016, 07:27
babuvgmat wrote:
chetan2u wrote:
Bunuel wrote:
If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

Hi
average of 21 means sum of age is 21*3 = 63...

(1) The oldest is 25.
To make the youngest the least, make the other two the oldest...

so the two eldest = 25+25 = 50..
age of youngest = 63-50 =13..
so youngest will be at the least 13..
so our answer for " is the youngest older than 13" will always be NO
Suff

(2) One person is 24.
Nothing can be said about the other two
example -
1, 24, 38----- YES
18,21,24------ NO
Insuff

A

HI chetan , for statement 1 .. youngest is at least 13 means he can 13 or > 13 rt ?

how can we say youngest 13 here ? other two both eldest is our assumption so we are not sure whether he >13 or =13.

If we combine it's very clear .

Hi Babu,

I will have to edit the answer Because while answering somehow I thought Q is "is the youngest younger than 13".. Here statement I is suff as youngest is atleast 13....
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If the average age of three people is 21 years, is the youngest older  [#permalink]

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04 Apr 2017, 08:49
chetan2u wrote:
Bunuel wrote:
If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

Hi
average of 21 means sum of age is 21*3 = 63...

(1) The oldest is 25.
To make the youngest the least, make the other two the oldest...

so the two eldest = 25+25 = 50..
age of youngest = 63-50 =13..
so youngest will be at the least 13, so he can be 13 or >13.....
so our answer for " is the youngest older than 13" will be NO, if he is 13..
and YES, if he is >13
Insuff

(2) One person is 24.
Nothing can be said about the other two
example -
1, 24, 38----- YES
18,21,24------ NO
Insuff

Combined-
one is 25 and other is 24.. third will be 63-25-24 = 14..
ans is YES
Suff

C

THE OLDEST is 25, so no one else is 25.
Therefore: 63-25=38. If any other person is 24 then the third have to be 14>13. Answer A.
Math Expert
Joined: 02 Aug 2009
Posts: 6787
Re: If the average age of three people is 21 years, is the youngest older  [#permalink]

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04 Apr 2017, 09:01
malevg wrote:
chetan2u wrote:
Bunuel wrote:
If the average age of three people is 21 years, is the youngest older than 13?

(1) The oldest is 25.
(2) One person is 24.

Hi
average of 21 means sum of age is 21*3 = 63...

(1) The oldest is 25.
To make the youngest the least, make the other two the oldest...

so the two eldest = 25+25 = 50..
age of youngest = 63-50 =13..
so youngest will be at the least 13, so he can be 13 or >13.....
so our answer for " is the youngest older than 13" will be NO, if he is 13..
and YES, if he is >13
Insuff

(2) One person is 24.
Nothing can be said about the other two
example -
1, 24, 38----- YES
18,21,24------ NO
Insuff

Combined-
one is 25 and other is 24.. third will be 63-25-24 = 14..
ans is YES
Suff

C

THE OLDEST is 25, so no one else is 25.
Therefore: 63-25=38. If any other person is 24 then the third have to be 14>13. Answer A.

Hi,
Although OA given is A, i would still go with C.
Nowhere it mentions that the age are different.
What if the three are 25 yrs 2 days and 25yrs and 3 days.
The oldest is 25 yrs but other is also 25..

The oldest is 25 does not mean only one will that age.
In GMAT actuals they will mention different ages if all are different.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If the average age of three people is 21 years, is the youngest older  [#permalink]

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04 Apr 2017, 10:48
I agree, this should be C, otherwise the question needs rephrasing. I don't believe you can infer that they cannot have the same age from the question.

Posted from my mobile device

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: If the average age of three people is 21 years, is the youngest older &nbs [#permalink] 04 Apr 2017, 10:48
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