Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they eac

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Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with

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Tài Đức 3 years 2021-08-31T16:52:56+00:00 1 Answers 14 views 0

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    2021-08-31T16:54:33+00:00

    Answer:

    Aaron = 54

    Bola = 18

    Step-by-step explanation:

    Let

    A \to Aaron

    B \to Bola

    From the first statement, we have:

    A = 3B

    After given Bola 6 sweets,

    A - 6 = 2(B + 6)

    Required

    The initial number of sweets each has

    Substitute A = 3B in A - 6 = 2(B + 6)

    3B - 6 = 2(B + 6)

    Open bracket

    3B - 6 = 2B + 12

    Collect like terms

    3B -2B = 12+6

    B = 18

    Substitute B = 18 in A = 3B

    A = 3 * 18

    A = 54

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