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Five years ago, Juliet was three times as old as Will. If Juliet is

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Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 11 Jun 2017, 22:32
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Question Stats:

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Five years ago, Juliet was three times as old as Will. If Juliet is currently twice as old as Will, how old is Juliet?

A. -10
B. 10
C. 15
D. 20
E. 25
[Reveal] Spoiler: OA

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Re: Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 11 Jun 2017, 23:06
Bunuel wrote:
Five years ago, Juliet was three times as old as Will. If Juliet is currently twice as old as Will, how old is Juliet?

A. -10
B. 10
C. 15
D. 20
E. 25


Let Will's and Juliet's age represented as W and J respectively.
Given currently Juliet is twice as old as Will. Therefore; \(J = 2W\)

Five years ago, Juliet was three times as old as Will. Therefore;
\(J - 5 = 3(W - 5)\)
\(2W - 5 = 3W - 15\) ------------- (Substituting \(J = 2W\))
\(3W - 2W = 15 - 5\)
\(W = 10\)

Therefore Will's current age is 10 years.
Juliet's current age = \(2W = 20\) years. Answer D...
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Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 12 Jun 2017, 04:25
Given W=J/2; and J-5=3*(W-5)

From here, using answer choices, we can work backward (I find that I do not make many silly calculation mistakes this way)

From answer choice D => J=20, so W=10, and W-5=5, J-5=15, which is indeed 3*(W-5).

For other answer choices we do not get J-5=3*(W-5)
Hence D
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Re: Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 12 Jun 2017, 04:29
J-5=3*(w-5)
J=2w
2w-5=3w-15
w=10
J=20
Hence answer should be D

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Re: Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 14 Jun 2017, 15:05
Bunuel wrote:
Five years ago, Juliet was three times as old as Will. If Juliet is currently twice as old as Will, how old is Juliet?

A. -10
B. 10
C. 15
D. 20
E. 25


We can let Juliet’s current age = J and Will’s current age = W.

Since five years ago Juliet was three times as old as Will:

J - 5 = 3(W - 5)

J - 5 = 3W - 15

J = 3W - 10

Since Juliet is currently twice as old as Will:

J = 2W

We can substitute 2W for J in our first equation and we have:

2W = 3W - 10

10 = W

Since W = 10, J = 2(10) = 20.

Answer: D
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Re: Five years ago, Juliet was three times as old as Will. If Juliet is [#permalink]

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New post 20 Jan 2018, 21:56
Five years ago:
J - 5 = 3(W - 5)
J - 5 = 3W - 15 Equation 1

Currently:
J = 2W
W = J/2 Equation 2

Substitute Equation 2 into Equation 1:
J - 5 = 3*(J/2) - 15
10 = (1/2)*J
J = 20 (Answer D)
Re: Five years ago, Juliet was three times as old as Will. If Juliet is   [#permalink] 20 Jan 2018, 21:56
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