GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 11:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58320
Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

11 Jun 2017, 23:32
00:00

Difficulty:

15% (low)

Question Stats:

90% (01:05) correct 10% (01:27) wrong based on 56 sessions

### HideShow timer Statistics

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

_________________
Director
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

12 Jun 2017, 00:06
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...
Manager
Joined: 03 Feb 2017
Posts: 73
Location: Australia
GMAT 1: 720 Q48 V40
Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

12 Jun 2017, 05:25
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
Manager
Joined: 27 Mar 2016
Posts: 110
Re: Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

12 Jun 2017, 05:29
J-5=3*(w-5)
J=2w
2w-5=3w-15
w=10
J=20

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)
Re: Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

14 Jun 2017, 16:05
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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 28 Dec 2017
Posts: 30
Re: Five years ago, Juliet was three times as old as Will. If Juliet is  [#permalink]

### Show Tags

20 Jan 2018, 22:56
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
Re: Five years ago, Juliet was three times as old as Will. If Juliet is   [#permalink] 20 Jan 2018, 22:56
Display posts from previous: Sort by