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Age

by grandh01 » Tue Aug 28, 2012 10:38 pm
If today is Carol's birthday, how old is
Carol?
(1) 6 years ago she was half her
present age.
(2) 3 years from now she will be 3
times as old as she was 7 years
ago.

OA IS D
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Source: — Data Sufficiency |

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by Anurag@Gurome » Tue Aug 28, 2012 10:53 pm
take present age as x.

considering option 1:
age of carol 6 year`s ago = x-6
half her present age = x/2
so, x/2 = x-6 -> x = 12
can be answered with A alone

considering option 2:
age of carol 3 years from now = x + 3
age of carol 7 years ago = x -7
from the statement, x+3 = 3*(x-7) -> x =12
so it can be answered with B alone

hence, it is D
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by adthedaddy » Tue Aug 28, 2012 11:25 pm
Note following connotations -
Let,
Carol's age today = C
Age 6 yrs ago = C-6
Age 3 yrs hence = C+3
Age 7 yrs ago = C-7

Condition (1) says
C-6=C/2
=> C=12 yrs
SUFFICIENT

Condition (2) says
C+3 = 3(C-7)
i.e 2C = 24
=> C=12 yrs
SUFFICIENT

As both the conditions give us a unique answer, ans=(D)
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by Brent@GMATPrepNow » Wed Aug 29, 2012 6:49 am
Aside: As you can see from the earlier posts, it's useful to set up age questions by finding a variable expression for each of the time periods given in the question.

For more information on approaching age questions, we have a free video here: https://www.gmatprepnow.com/module/gmat- ... ems?id=908

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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