NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 19:01 It is currently 24 Apr 2024, 19:01
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A widow received 1/3 of her husband's estate and each of her three son

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618822 [2]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   17 May 2018, 05:23
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:50) correct 19% (02:01) wrong based on 193 sessions
Hide Show timer Statistics
A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000
ShowHide Answer
Official Answer
B
User avatar
L
u1983
Current Student
Joined: 24 Aug 2016
Posts: 733
Own Kudos [?]: 772 [1]
Given Kudos: 97
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Send PM
GMAT ToolKit User Reviews Badge
Re: A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   17 May 2018, 07:18
1
Kudos
Bunuel wrote:
A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000


Let the total value of the estate= 3x
The widow received =x
each son received = 2x/3
widow+1 son= x+2x/3 = 5x/3 = 60000
Hence X = 60000*3/5 =36000
Thus total estate value = 3x= 3*36000= $108000.......Hence I would go for option B.
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   17 May 2018, 10:49
Bunuel wrote:
A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000


Let the total value of estate be 9 units

Widow received 3 units
Each of her 3 sons receive 2 units each

We are given 5 units = $60,000

So, The total value of the estate is \(\frac{60,000}{5}*9\) = \(108000\), Answer must be (B)
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35486 [2]
Given Kudos: 9464
Send PM
CAT Tests
A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   17 May 2018, 16:00
2
Kudos
Expert Reply
Bunuel wrote:
A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000

Let x = the value of the estate

The widow's portion: \(\frac{1}{3}x\)

Portion of the estate that remains: \(\frac{2}{3}x\)

Remainder is divided among three sons. Each son's portion: \(\frac{(\frac{2}{3}x)}{3}=\frac{2}{9}x\)

Widow + one son = \($60,000\)

\((\frac{1}{3}x+\frac{2}{9}x)=\frac{5}{9x}=$60,000\)

\(x=($60,000*\frac{9}{5})=$108,000\)

Answer B
avatar
B
Likhitha30chowdary
Intern
Intern
Joined: 25 Feb 2018
Posts: 8
Own Kudos [?]: 0 [0]
Given Kudos: 42
Send PM
Re: A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   24 May 2018, 05:28
Let the total value be x
widow received =x/3
each son received = 2x/9
widow+1 son= x/3+2x/3= 5x/9= 60000
Hence x=108000
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6272 [0]
Given Kudos: 1646
Send PM
Re: A widow received 1/3 of her husband's estate and each of her three son [#permalink] New post   29 May 2018, 16:15
Expert Reply
Bunuel wrote:
A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000


Since the widow received 1/3, each son received (2/3)/3 = 2/9 of the total. If we let n = the total value of the estate, then we have:

(1/3)n + (2/9)n = 60,000

Multiplying the equation by 9, we have:

3n + 2n = 540,000

5n = 540,000

n = 108,000

Answer: B
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32657
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A widow received 1/3 of her husband's estate [#permalink] New post   14 Sep 2021, 02:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: A widow received 1/3 of her husband's estate [#permalink]
14 Sep 2021, 02:17
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions