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.
equations
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Statement Ibeater wrote: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.
It only tells about spouse and oldest child. Nothing about the youngest child.
Insufficient.
Statement II
y=older +12500
y= spouse - 62500
200000 = 2y + older + Spouse
200000 = 2y +y -12500 +y+62500
we can find the value of y i.e. the youngest child. Each of the youngest child gets the same amount.
Sufficient.
Hence B is the answer.
B alone is suffbeater wrote: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.