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

Question

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

Bunuel · Accepted Answer

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.

abcd12345 · Answer

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

siddhans · Answer

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.

GMATD11 · Answer

where it is mentioned that s2=s3?

swetamurthy · Answer

B .Each  of the two younger children received ....
implying that both s2 and s3 received same amount.
i hope its clear now

ankurjay · Answer

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=1 5 0,000
S3= 37,500 
Hence answer is B

minwoswoh · Answer

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!

TheKingInTheNorth · Answer

Its a C trap Question

mcelroytutoring · Answer

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.)

09173140521 · Answer

its a bit confusing . the question says what is youngest .......but in B answer we encounter 2 younger !!! how we can interpret that ?
youngest is unique but we calculate 2 !!!! could any one say why ?

pulak1988 · Answer

great word play. really missed that step. I was keen to find that they have not mentioned youngest child. silly silly mistake.

matteotchodi · Answer

in DS never write down the actual RAW numbers.....

I use the following strategies.... when I know that I have a raw number I just annotate #

if you have any questions on how I use this strategy and how it may be useful feel free to ask

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

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