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Difficulty:
5%
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Question Stats:
85% (01:10) correct
15%
(01:38)
wrong
based on 164
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A woman is 4 times as old as her daughter. In 3 years she will be 3 times as old as her daughter. How old is the woman now?
A. 3 years
B. 6 years
C. 12 years
D. 24 years
E. 36 years
A. 3 years
B. 6 years
C. 12 years
D. 24 years
E. 36 years
Updated on: 03 Nov 2019, 12:08
Originally posted by BrentGMATPrepNow on 19 Apr 2017, 06:33.
Last edited by BrentGMATPrepNow on 03 Nov 2019, 12:08, edited 1 time in total.
Last edited by BrentGMATPrepNow on 03 Nov 2019, 12:08, edited 1 time in total.
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Bunuel
Let D = daughter's PRESENT age
So, 4D = woman's PRESENT age (since the woman is 4 times as old as her daughter.)
IN 3 YEARS everyone will be 3 years older, so we just add 3 years to each person's PRESENT age.
So, D +3 = daughter's age IN 3 YEARS
And 4D +3 = woman's age IN 3 YEARS
In 3 years she will be 3 times as old as her daughter.
In other words, in 3 years... (woman's age) = 3(daughter's age)
So.... 4D +3 = 3(D + 3)
Expand: 4D +3 = 3D + 9
Solve, D = 6
So, the daughter's PRESENT age = 6
This means the woman's PRESENT age = (4)(6) = 24
Answer:
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