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

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

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New post 19 Apr 2017, 00:58
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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 ti [#permalink]

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New post 19 Apr 2017, 03:28
Let the current age be W (mother) and D (daughter).

W=4D
In three years

W+3=3(D+3)
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 ti [#permalink]

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New post 19 Apr 2017, 06:33
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Bunuel wrote:
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


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

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New post 19 Apr 2017, 10:26
I think the easier method to solve this problem is process elimination
Let's start with D
If the woman is 24, her daughter is 6 years old
In three years time, the woman will be 27. While, her daughter will be 9.

Therefore, the answer is D :-D
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Re: A woman is 4 times as old as her daughter. In 3 years she will be 3 ti [#permalink]

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New post 19 Apr 2017, 10:33
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matthewsmith_89 wrote:
I think the easier method to solve this problem is process elimination
Let's start with D
If the woman is 24, her daughter is 6 years old
In three years time, the woman will be 27. While, her daughter will be 9.

Therefore, the answer is D :-D


Checking the answer choices can be a very fast approach, especially if you start with the correct answer choice :-D
That said, I highly recommend that students check the answer choices if they can't find an alternative approach and/or checking the answer choices is clearly the fastest approach.

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

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New post 24 Apr 2017, 17:12
1
Bunuel wrote:
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



We can let the age of the woman today = w and the age of the daughter today = d. Since the woman is 4 times as old as her daughter:

w = 4d

In 3 years, the woman will be (w + 3) and her daughter will be (d + 3). At that time, she will be 3 times as old as her daughter:

w + 3 = 3(d + 3)

w + 3 = 3d + 9

w = 3d + 6

Since w = 4d, we can substitute 4d for w in the equation w = 3d + 6 and we have:

4d = 3d + 6

d = 6

Thus, the woman is now 4 x 6 = 24 years old.

Answer: D
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Re: A woman is 4 times as old as her daughter. In 3 years she will be 3 ti   [#permalink] 24 Apr 2017, 17:12
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