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A sum of money is shared among three brothers. The eldest receives 7/13 of it and the 13 next receives 2/3 of the remainder. If the youngest brother receives $6, find the sum of money shared.

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  1. Remainder = 13/13 - 7/13 = 6/13.

    Next-to oldest share = 2/3 * 6/13 = 12/39.

    Youngest bro. share = 13/13-7/13-12/39 = 39/39-21/39-12/39 = 6/39 = 2/13.

    2/13 * x = 6.00, X = $39. = Sum of money shared.

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