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A widow received 1/3 of her husband's estate, and each of he

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A widow received 1/3 of her husband's estate, and each of he [#permalink] New post 27 Mar 2018, 21:55
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A widow received \(\frac{1}{3}\) of her husband's estate, and each of her three sons received \(\frac{1}{3}\) of the balance. If the widow and one of her sons received a total of \($120,000\), what was the amount of the estate?

A) $180,000
B) $192,000
C) $216,000
D) $270,000
E) $275,000
[Reveal] Spoiler: OA
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Re: A widow received 1/3 of her husband's estate, and each of he [#permalink] New post 28 Mar 2018, 12:20
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I do not know if the answer are precise. However, we could reach the solution as well because the values are fairly apart and not tight.

Now, the widow had 1/3, and 3 sons 1/3 of the rest (balance). So, the widow had 1/3 and each son 1/3 divided by 3 or 2/9.

1/3 + 2/9 = roughly 0.55%.

120,000 = 0.55% of X

C is the answer
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Re: A widow received 1/3 of her husband's estate, and each of he   [#permalink] 28 Mar 2018, 12:20
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