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A sum of $200,000 from a certain estate was devided among a

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A sum of $200,000 from a certain estate was devided among a  [#permalink]

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New post 30 Sep 2010, 01:45
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A sum of $200,000 from a certain estate was divided among a spouse and three children. How much did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder

(2) Each of the two younger children received 12,500 more than the oldest child and 62500 less than the spouse
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New post 30 Sep 2010, 02:00
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A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate. and the oldest child received 1/4 of the remainder --> insufficient, as no info about the other two children.

(2) Each of the two younger children received $12,500 more than the oldest child and $62.500 less than the spouse.

Let the sum received by each of the two younger children x, so total sum received by them is 2x;
Also the oldest child received \(x-12,500\)and the spouse received \(x+62,500\);

So \(2x+(x-12,500)+(x+62,500)=200,000\) --> \(x=37,500\). Sufficient.

Answer: B.
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Re: sum of $200,000  [#permalink]

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New post 09 Jul 2011, 20:43
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siddhans wrote:
plz explain detail steps...

A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.



Let us take the four people involved as Sp, S1, S2, S3
Sp+S1+S2+S3=200,000
S3=?
First statement
Sp = 1/2 * 200,000 = 100,000
S1= 100,000 *1/4= 25,000
S1+S2=75,000
But it does not answer the question? How much did the youngest son receive

Second statement
S2=S3
S3=S1+12,500
S3=SP-62,500
Sp+S1+S2+S3=200,000

converting everthing into S3
S3+62,500+S3-12,500+S3+S3=200,000
4S3=160,000
S3=40000
Hence answer is B

I am new to gmatclub and Kudos help me quite a bit. if you like my explanation please give one. Thanks
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New post 09 Jul 2011, 19:36
plz explain detail steps...

A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.
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Re: sum of $200,000  [#permalink]

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New post 18 Oct 2011, 07:53
where it is mentioned that s2=s3?
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Re: sum of $200,000  [#permalink]

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New post 18 Oct 2011, 10:10
GMATD11 wrote:
where it is mentioned that s2=s3?


B.Each of the two younger children received ....
implying that both s2 and s3 received same amount.
i hope its clear now
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Re: sum of $200,000  [#permalink]

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New post 18 Oct 2011, 20:13
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There has been slight mistake in calculation, though it doesnt affect the final answer:

Second statement
S2=S3
S3=S1+12,500
S3=SP-62,500
Sp+S1+S2+S3=200,000

converting everything into S3
S3+62,500+S3-12,500+S3+S3=200,000
4S3=150,000
S3=37,500
Hence answer is B
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Re: A sum of $200,000 from a certain estate was devided among a  [#permalink]

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New post 28 Sep 2015, 19:01
Let´s call s for spouse and a, b, c to the children from younger to older

Question Stem
200,000 = s + a + b + c


Statement 1
s = 100,000
c = 25,000
We have 4 variables and 3 equations, hence we cannot solve. Not sufficient


Statement 2
Here´s the catch! The question stem can be rewritten as 200,000 = s + 2a + c
a = c + 12,500
a = s – 62,500
Since we now have 3 variables and 3 equations, we can solve. Sufficient.


Please let me know with Kudos if you find my response elegant!
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Re: A sum of $200,000 from a certain estate was devided among a  [#permalink]

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New post 28 Sep 2015, 20:14
Its a C trap Question
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A sum of $200,000 from a certain estate was devided among a  [#permalink]

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New post 28 Mar 2016, 18:24
Here is a visual that should help. Notice that it doesn't say anywhere that the funds were divided equally, so don't assume this!

TIP: if the funds were divided equally, then you would know the answer to the question prior to either of the conditions. This never happens on DS. Thus, this is a red flag that indicates you are misinterpreting the question.

I didn't have time to complete the question before the lesson was over, but once I realized that I could solve for all three variables (y, m, and s) in terms of "old", I knew that condition #2 was was sufficient.

(I wrote "old" instead of the variable "o" because I didn't want to get it confused with the number zero.)
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