It is currently 20 May 2019, 07:33

### 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

# A widow received j of her husband's estate, and each of her

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6559
Followers: 106

Kudos [?]: 1253 [0], given: 5951

A widow received j of her husband's estate, and each of her [#permalink]  24 Aug 2018, 15:23
Expert's post
00:00

Question Stats:

42% (01:35) correct 57% (01:10) wrong based on 7 sessions
A widow received $$\frac{1}{3}$$ of her husband's estate, and each of her three sons received $$\frac{1}{3}$$ of the balance. If 3 the widow and one of her sons received a total of $60,000 from the estate, what was the amount of the estate? (A)$90,000

(B) $96,000 (C)$108,000

(D) $135,000 (E)$180,000
[Reveal] Spoiler: OA

_________________
Director
Joined: 20 Apr 2016
Posts: 864
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 645 [1] , given: 141

Re: A widow received j of her husband's estate, and each of her [#permalink]  25 Aug 2018, 10:23
1
KUDOS
Carcass wrote:
A widow received $$\frac{1}{3}$$ of her husband's estate, and each of her three sons received $$\frac{1}{3}$$ of the balance. If 3 the widow and one of her sons received a total of $60,000 from the estate, what was the amount of the estate? (A)$90,000

(B) $96,000 (C)$108,000

(D) $135,000 (E)$180,000

Let the total amount be = $$X$$

Now the widow received = $$\frac{1}{3} * X = \frac{X}{3}$$

The remaining balance =$$X -\frac{X}{3} = \frac{{2X}}{3}$$

and each son received = $$\frac{1}{3} * \frac{2X}{3} = \frac{2X}{9}$$

Therefore

$$\frac{X}{3} + \frac{2X}{9} = 60000$$

or $$5X = 60000 * 9$$

or $$X = \frac{{60000 * 9}}{5} = 108,000$$

Hence option C
_________________

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

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Re: A widow received j of her husband's estate, and each of her   [#permalink] 25 Aug 2018, 10:23
Display posts from previous: Sort by