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A wife received one-forth

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mohankumardey
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A wife received one-forth [#permalink] New post   28 Jun 2021, 05:57
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A wife received one-forth of her husband's estate, and each of her three, daughters received one-forth of the balance. If the wife and one of her daughter received a total of $35,000 from the estate, what was the amount of the estate?

(A) $80,000
(8) $96,000
(C) $108,000
(0) $135,000
(E) $180,000
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Re: A wife received one-forth [#permalink] New post   28 Jun 2021, 06:38
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Re: A wife received one-forth [#permalink] New post   28 Jun 2021, 08:00
Quote:
each of her three, daughters received one-forth of the balance


What does balance mean here?
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Re: A wife received one-forth [#permalink] New post   28 Jun 2021, 08:28
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nurakib wrote:
Quote:
each of her three, daughters received one-forth of the balance


What does balance mean here?


total
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A wife received one-forth [#permalink] New post   28 Jun 2021, 23:51
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Let, total balance be x.

Wife share = \(\frac{x}{4}\)

remaining balance =\( x-\frac{x}{4}\)
=\(\frac{3x}{4}\)

Each daughter received \(\frac{1}{4}\) of remaining i.e \(\frac{3x}{16}\)

so, \(\frac{x}{4} +\frac{3x}{16} = 35000\)

On solving, we get value of \(x = 80000\)
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A wife received one-forth [#permalink]
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