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

It is currently 24 May 2019, 10:57

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.

Close

Request Expert Reply

Confirm Cancel

If Jake loses 8 pounds, he will weigh twice as much as his

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 174
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 07 Dec 2012, 05:08
2
14
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:36) correct 6% (02:04) wrong based on 1370 sessions

HideShow timer Statistics

If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188
Most Helpful Expert Reply
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 28 Apr 2016, 07:22
2
4
Walkabout wrote:
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188


This problem can be solved as a simple word problem in which we must convert words to math. Before we create our equations, we want to define some variables.

J = Jake’s current weight, in pounds

S = Sister’s current weight, in pounds

We are told that “If Jake loses 8 pounds, he will weigh twice as much as his sister." We put this into an equation:

J – 8 = 2S

We can isolate J by adding 8 to 2S:

J = 2S + 8 (Equation 1)

Next, we are told that “Together they now weigh 278 pounds.” We can also put this into an equation.

J + S = 278 (Equation 2)

To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in Equation 2:

2S + 8 + S = 278

3S = 270

S = 90

We now know that the sister weighs S = 90 pounds, and we can plug that value into either equation to determine J. Let’s plug 90 for S into equation 2:

J + 90 = 278

J = 188

Answer: E
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
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.

General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55271
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 07 Dec 2012, 05:12
Walkabout wrote:
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188


Let J be Jake's present weight and S be his sister's weight, then we can construct two linear equations:
J=2S+8;
J+S=278.

Subtract one from another: S=278-2S-8 --> S=90 --> J=188.

Answer: E.
_________________
Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 105
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 11 Sep 2014, 07:10
1
Walkabout wrote:
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188




(x-8) = 2s

s+x = 278 --> s= 278-x

x-8 = 2(278-x)

3x=564

x=188
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1812
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 24 Sep 2014, 19:44
..................... Jack ......................... Sister

Now ................ x ................................. y

8 yrs before....... (x-8)

2y = x - 8

x = 2y+8

Given that 2y + 8 + y = 270

y = 90

x = 188

Answer = E
_________________
Kindly press "+1 Kudos" to appreciate :)
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14198
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
If Jake loses 8 pounds, he will weigh twice as much as his siste  [#permalink]

Show Tags

New post 04 Jan 2015, 12:55
3
Hi All,

This question can be solved with fairly straight-forward Algebra (as the other solutions have proven). It can also be solved by TESTing THE ANSWERS and a bit of logic.

We're told that the total weight of Jake and his sister is 278 pounds. We're also told that if Jake lost 8 pounds, then he would weight TWICE as much as his sister. This means that, right now, Jake weighs MORE than TWICE his sister. We're asked for Jake's current weight.

Since Jake weighs more than twice his sister, his weight is MORE than 2/3 of the 278 pounds. Looking at these answer choices, I would TEST one of the bigger values first... Under normal circumstances, that would be Answer D. With a quick estimate though we can see that 2/3 of 270 pounds would be 180 pounds, but Jake has to weight MORE than that, so I'm going to TEST Answer E first....

If Jake weights 188 pounds...
Jake - 8 = 180 pounds....
Sister = 90 pounds
90 + 180 + 8 = 278 pounds
This is a MATCH for the information in the prompt, so Jake MUST weight 188 pounds.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Intern
Intern
avatar
B
Joined: 24 May 2016
Posts: 19
Location: Germany
Concentration: International Business, General Management
GMAT ToolKit User
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 04 Jun 2017, 01:25
2
You can also test the answers.
When you realize that when you choose 188 for Jake's weight you get from the equations, a nice round number for his sister age and the work involved is fast:
J-8=2S, where J stands for Jake and S for his sister --> 188-8=2S --> S=90.
Now you can plug in the obtained value in the second equation: J+S= 278 --> As we have chosen 188 for Jake and got 90 pounds for his sister--> 188+90=278. This is a match. Option E is the correct answer.
Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 171
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 21 Sep 2017, 01:06
let Jack's Weight be J
His sister weight be S
J-8 = 2S ----1
J+S = 278 ---2
Then,
J= 2S+8
2S+8+S = 278
S= 270/3
S=90
then J = 188
Answer is E
_________________
Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post
Intern
Intern
avatar
B
Joined: 01 May 2017
Posts: 34
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 16 Nov 2017, 06:41
2
One of my favorite method to attempt questions is by using as low level an approach as possible:

- On this question we know that 278 is the current sum of Jake's and his sister weights

- We also know that 270 is the sum of their weights if Jake loses 8 pounds

- Since 270 equals 2 parts from Jake's weight and 1 part from his sister weight so we can have following ratio

- Jake: 2 parts of 270 (180) and Sister: 1 part of 270 (90)

- So Jake's current weight will be those 2 parts (180) plus the weight that he has not lost yet (8) = 188 (option E)


- In fact we don't even need to calculate 188. Since we know that Jake's weight is at least 180 and since none of the other options is anywhere close to 180, so our answer is automatically option - E. Moreover, if you are pressed for time then you don't even have to consider 8. You can use the approximation technique to divide 278 into 3 equal parts which will be about ~93 and so Jake's weight is approximately 186 (and so only option E works)
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3727
Location: Canada
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 17 Jan 2019, 06:42
Top Contributor
Walkabout wrote:
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188


Here's a solution that uses one variable.

Let x = Jake's present weight in pounds
So, x - 8 = Jake's hypothetical weight IF he were to lose 8 pounds

If Jake loses 8 pounds, he will weigh twice as much as his sister.
In other words, the sister weighs HALF as much as Jake's hypothetical weight of x - 8 pounds
So, (x - 8)/2 = sister's present weight

Together they NOW weigh 278 pounds.
So, Jake's present weight + sister's present weight = 278
So, x + (x - 8)/2 = 278
Eliminate the fraction by multiplying both sides by 2 to get: 2x + (x - 8) = 556
Simplify: 3x - 8 = 556
Add 8 to both sides: 3x = 564
Solve: x = 564/3 = 188

Answer: E

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMATH Teacher
User avatar
P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 17 Jan 2019, 09:44
Walkabout wrote:
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188

\(? = 2M\)

\(\left\{ \matrix{
\,2M - 8 = 2S \hfill \cr
\,2M + S = 278 \hfill \cr} \right.\,\,\,\,\, \cong \,\,\,\,\left\{ \matrix{
\,M - S = 4 \hfill \cr
\,2M + S = 278 \hfill \cr} \right.\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( + \right)} \,\,\,\,\,\left( {{2 \over 3}} \right)3M = \left( {{2 \over 3}} \right)\left( {270 + 12} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 2M = 2 \cdot 94 = 188\)


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
Intern
Intern
User avatar
B
Joined: 09 Mar 2018
Posts: 45
Location: India
Schools: CBS
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

Show Tags

New post 14 May 2019, 00:46
I loved it how FANewJersey has put this question in, option E is indeed pretty far from others and if hard pressed on time such a trick can indeed be really handy
GMAT Club Bot
Re: If Jake loses 8 pounds, he will weigh twice as much as his   [#permalink] 14 May 2019, 00:46
Display posts from previous: Sort by

If Jake loses 8 pounds, he will weigh twice as much as his

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.