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29 September, 21:35

Aman divided $9.000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the

son received $1.000 more than the daughter. How much did each receive?

Ifx is the amount the wife received, then which of the following expressions represents the amount received by the

son?

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Answers (1)
  1. 30 September, 01:22
    0
    Amount received by Aman's Wife = $4000

    The expression which shows the amount received by his son = x + 10000

    Step-by-step explanation:

    The total amount Aman has = $9000

    Let us assume the amount his daughter receives = $x

    So, the amount his wife received = 2 x (Amount received by Daughter)

    = 2 x ($x) = 2 x

    And the amount his son received = $1000 + (Amount received by Daughter)

    = 1000 x ($x) = x + 10000

    According to the question:

    Amount of (Daughter's + Wife's + Son's) share = $9000

    x + 2x + x + 10000 = $9,000

    ⇒4 x = 9000 - 1000

    or, 4 x = 8000

    ⇒ x = 8000 / 4 = 2,000

    ⇒ x = $2,000

    So, the amount received by Aman's Wife = 2 x + 2 ($2000) = $4000

    The expression which shows the amount received by his son = x + 10000
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