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A sum of $200,000 from a certain estate was devided among a
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30 Sep 2010, 01:45
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66% (01:10) correct 34% (00:59) wrong based on 351 sessions
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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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A sum of $200,000 from a certain estate was devided among a
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30 Sep 2010, 02:00
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 \(x12,500\)and the spouse received \(x+62,500\); So \(2x+(x12,500)+(x+62,500)=200,000\) > \(x=37,500\). Sufficient. Answer: B.
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Re: sum of $200,000
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09 Jul 2011, 20:43
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=SP62,500 Sp+S1+S2+S3=200,000 converting everthing into S3 S3+62,500+S312,500+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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A sum of $200,000 from a certain estate was divided among
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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
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18 Oct 2011, 07:53
where it is mentioned that s2=s3?
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Re: sum of $200,000
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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
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18 Oct 2011, 20:13
There has been slight mistake in calculation, though it doesnt affect the final answer:
Second statement S2=S3 S3=S1+12,500 S3=SP62,500 Sp+S1+S2+S3=200,000
converting everything into S3 S3+62,500+S312,500+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
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28 Sep 2015, 19:01
Let´s call s for spouse and a, b, c to the children from younger to older Question Stem200,000 = s + a + b + c Statement 1s = 100,000 c = 25,000 We have 4 variables and 3 equations, hence we cannot solve. Not sufficient Statement 2Here´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
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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
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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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