It is currently 19 Sep 2020, 01:03
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Lou has three daughters: Wen, Mildred, and Tyla. Three years

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2912 [0], given: 394

Lou has three daughters: Wen, Mildred, and Tyla. Three years [#permalink] New post 14 Jun 2018, 14:25
Expert's post
00:00

Question Stats:

68% (04:37) correct 31% (00:44) wrong based on 16 sessions
Lou has three daughters: Wen, Mildred, and Tyla. Three years ago, when Lou was twice as old as Tyla, he was 30 years older than Mildred. Now, he is 47 years older than Wen. In 4 years, Wen will be half as old as Tyla. What is the sum of the current ages of Lou and his three daughters?

(A) 138
(B) 144
(C) 154
(D) 166
(E) 181
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2912 [0], given: 394

Re: Lou has three daughters: Wen, Mildred, and Tyla. Three years [#permalink] New post 05 Jul 2018, 03:21
Expert's post
Explanation

The key to this tricky-sounding problem is setting up variables correctly and ensuring that you subtract or add appropriately for these variables when representing their ages at different points in time:

L = Lou’s age now
W = Wen’s age now
M = Mildred’s age now
T = Tyla’s age now

Two equations come from the second sentence of the problem:

Equation 1: \((L - 3) = 2(T - 3)\)
Equation 2: \((L - 3) = (M - 3) + 30\)

Another two equations come from the third sentence of the problem:

Equation 3: \(L = W + 47\)
Equation 4: \((W + 4) =\frac{T+4}{2}\)

In order to solve this problem effectively, look for ways to get two of the equations to have the same two variables in them. If you have two equations with only two variables, you can solve for both of those variables. Equation 4 has a W and a T; the only other equation with a T is Equation 1. If you substitute the L in Equation 1 with the W from Equation 3, you will have two equations with just W’s and T’s.

Equation 1: \((L - 3) = 2(T - 3)\)

\((W + 47) – 3 = 2(T - 3)\)

\(W + 44 = 2T - 6\)

\(W + 50 = 2T\)

Equation 4: \((W + 4) =\frac{T+4}{2}\)

\(2W + 8 = T + 4\)

\(2W + 4 = T\)

Now combine the equations to solve for W.

\(W + 50 = 2(2W + 4)\)

\(W + 50 = 4W + 8\)

\(W + 42 = 4W\)

\(42 = 3W\)

\(14 = W\)

Now that you know Wen’s age, you can solve for the rest.

Equation 3: \(L = W + 47\)
\(L = 14 + 47\)
\(L = 61\)

Equation 1: \((L - 3) = 2(T - 3)\)

\((61 - 3) = 2(T - 3)\)

\(58 = 2T - 6\)

\(64 = 2T\)

\(32 = T\)

Equation 2: \((L - 3) = (M - 3) + 30\)

\((61 - 3) = (M - 3) + 30\)

\(58 = M + 27\)

\(31 = M\)

Now that you know that L = 61, W = 14, M = 31, and T = 32, sum them to find the answer:

\(61 + 14 + 31 + 32 = 138\)
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Director
User avatar
Joined: 22 Jun 2019
Posts: 517
Followers: 4

Kudos [?]: 103 [0], given: 161

CAT Tests
Re: Lou has three daughters: Wen, Mildred, and Tyla. Three years [#permalink] New post 09 Jul 2019, 02:05
sandy wrote:
Lou has three daughters: Wen, Mildred, and Tyla. Three years ago, when Lou was twice as old as Tyla, he was 30 years older than Mildred. Now, he is 47 years older than Wen. In 4 years, Wen will be half as old as Tyla. What is the sum of the current ages of Lou and his three daughters?

(A) 138
(B) 144
(C) 154
(D) 166
(E) 181



Is this really a REAL GRE type question where as GRE do not concern about long tedious calculation rather than mathematical logic.
_________________

New to the GRE, and GRE CLUB Forum?
GRE: All About GRE | Search GRE Specific Questions | Download Vault
Posting Rules: QUANTITATIVE | VERBAL

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection
Books: All GRE Best Books
Scores: Average GRE Score Required By Universities in the USA
Tests: All Free & Paid Practice Tests | GRE Prep Club Tests
Extra: Permutations, and Combination
Vocab: GRE Vocabulary
Facebook GRE Prep Group: Click here to join FB GRE Prep Group

Manager
Manager
Joined: 01 Jan 2020
Posts: 112
Concentration: Marketing
Schools: Copenhagen Business School - Class of 2022
Followers: 0

Kudos [?]: 57 [0], given: 46

Re: Lou has three daughters: Wen, Mildred, and Tyla. Three years [#permalink] New post 02 Mar 2020, 10:25
Had exactly the same thinking as huda while I was doing this exercise, yet it is a good exercise for writing the formulas correctly out!
Intern
Intern
Joined: 09 Jan 2020
Posts: 20
Followers: 0

Kudos [?]: 10 [0], given: 8

Re: Lou has three daughters: Wen, Mildred, and Tyla. Three years [#permalink] New post 04 Mar 2020, 09:03
My method is attached.
Attachments

Screenshot 2020-03-04 at 17.01.59.png
Screenshot 2020-03-04 at 17.01.59.png [ 388.32 KiB | Viewed 915 times ]

Re: Lou has three daughters: Wen, Mildred, and Tyla. Three years   [#permalink] 04 Mar 2020, 09:03
Display posts from previous: Sort by

Lou has three daughters: Wen, Mildred, and Tyla. Three years

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.