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[quote="HKD1710"]A man who died left an estate valued at $111,000. His will stipulated that his estate was to be distributed so that each of his three children received from the estate and his previous gifts, combined, the same total amount. If he had previously given his oldest child $15,000, his middle child $10,000, and his youngest $2,000, how much did the youngest child receive from the estate?

(A) $50,000
(B) $48,000
(C) $46,000
(D) $44,000
(E) $39,000


Approach- as the amount is to be divided equally into 3. Add all the amount given to children with estate value totaling $138K this amount is to be distributed among all three equally. So each get 46K, as youngest child already have 2K he will get 44K more (ans D).
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Hi all,

what we need to do first is to figure out the totale value of estate + gifts -> 111k + 15k + 10k + 2k = 138k. Therefore, the amount equally distributed to the 3 children is 138k/3 = 46k. Therefore the youngest children would need to receive 46k - 2k = 44k from the estate

ANSWER D
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HKD1710
A man who died left an estate valued at $111,000. His will stipulated that his estate was to be distributed so that each of his three children received from the estate and his previous gifts, combined, the same total amount. If he had previously given his oldest child $15,000, his middle child $10,000, and his youngest $2,000, how much did the youngest child receive from the estate?

(A) $50,000
(B) $48,000
(C) $46,000
(D) $44,000
(E) $39,000

Solution:

The total value of his estate and his previous gifts is 111 + 15 + 10 + 2 = 138 thousand dollars. So each child should receive 138/3 = 46 thousand dollars. Since the youngest has already received 2 thousand dollars from his previous gifts, he should receive 46 - 2 = 44 thousand dollars from the estate.

Answer: C
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Given:
1. A man who died left an estate valued at $111,000.
2. His will stipulated that his estate was to be distributed so that each of his three children received from the estate and his previous gifts, combined, the same total amount.
Asked: If he had previously given his oldest child $15,000, his middle child $10,000, and his youngest $2,000, how much did the youngest child receive from the estate?

His total estate value = $111000 + $15000 + $10000 + $2000 = $138000
Share of each son = $138000/3 = $46000

Youngest son will receive = $46000 - $2000 = $44000

IMO D
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