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

 It is currently 20 Nov 2019, 10:29 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If Jake loses 8 pounds, he will weigh twice as much as his

Author Message
TAGS:

### Hide Tags

Manager  Joined: 02 Dec 2012
Posts: 173
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

4
15 00:00

Difficulty:   5% (low)

Question Stats: 94% (01:35) correct 6% (02:01) wrong based on 1666 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
Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2812
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

2
4
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

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com

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
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15489
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

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.

GMAT assassins aren't born, they're made,
Rich
_________________
Intern  B
Joined: 24 May 2016
Posts: 19
Location: Germany
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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.
Intern  B
Joined: 01 May 2017
Posts: 33
If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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)
Math Expert V
Joined: 02 Sep 2009
Posts: 59182
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

1
3
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.

_________________
Manager  Joined: 07 Apr 2014
Posts: 99
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

1
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  Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1729
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

..................... 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

_________________
Kindly press "+1 Kudos" to appreciate Manager  G
Joined: 07 Jun 2017
Posts: 160
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38 GPA: 3.6
WE: Information Technology (Computer Software)
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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
_________________
Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4068
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

Top Contributor
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

Cheers,
Brent
_________________
GMATH Teacher 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

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
Manager  B
Joined: 09 Mar 2018
Posts: 55
Location: India
Schools: CBS Deferred "24
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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
Intern  B
Joined: 27 Oct 2018
Posts: 2
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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

All you need to do for this one is find out the first equation and start plugging in answer choices. So:

J-8=2(S)

A - 123 = 2(S)
B - 127 = 2(S)
C - 131 = 2(S)
D - 149 = 2(S)
E - 180 = 2(S)

If you were to go on to find what S=, you will notice only one is even (E).

Because the weight together is an integer, you can stop here and grab E as the final answer.
Director  P
Joined: 18 Dec 2017
Posts: 715
Location: United States (KS)
Re: If Jake loses 8 pounds, he will weigh twice as much as his  [#permalink]

### Show Tags

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

Even-8=Even
Even+2*Even= 278 (Even)

Well, we need an Even. Only E. _________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
Software Tester currently in USA ( )

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler Re: If Jake loses 8 pounds, he will weigh twice as much as his   [#permalink] 29 Oct 2019, 17:58
Display posts from previous: Sort by

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