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# A woman is 4 times as old as her daughter. In 3 years she will be 3

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Math Expert
Joined: 02 Sep 2009
Posts: 58465
A woman is 4 times as old as her daughter. In 3 years she will be 3  [#permalink]

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14 Feb 2016, 04:15
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:24) correct 10% (01:04) wrong based on 44 sessions

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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

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Re: A woman is 4 times as old as her daughter. In 3 years she will be 3  [#permalink]

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14 Feb 2016, 10:39
Let Woman's present age = w
and daughter's present age = d
w= 4d --- equation 1
w+3 = 3(d+3)
=>w = 3d +6 --- equation 2
From 1 and 2 , we get
d=6
w=24

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Re: A woman is 4 times as old as her daughter. In 3 years she will be 3  [#permalink]

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20 Jan 2018, 23:00
Now:
W = 4D Equation 1

In three years:
W + 3 = 3*(D + 3)
W + 3 = 3D + 9 Equation 2

Substitute Equation 1 into Equation 2:
4D + 3 = 3D + 9
D = 6
Since W = 4D and D = 6, then W = 24 (Answer D)
Re: A woman is 4 times as old as her daughter. In 3 years she will be 3   [#permalink] 20 Jan 2018, 23:00
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