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A sum of money is shared among threebrothers. The eldest receives 7/13 of it and thenext receives 2/3 of the remainder. If theyoungest brother receives $6, find the sum ofmoney shared.?

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Let x be the sum of the money
x=frac713x+frac23(x-frac713x)+6
x=frac713x+frac23(frac613x)+6
x=frac713x+frac413x+6
x=frac1113x+6
6=frac213x
2x=78
x=39
Hence the sum of money shared is Rs. 39

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Deependra Verma

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