Brand A has a recognition value worth ​$47 billion more than brand B. If the total value of these two brands is ​$103 ​billion, find the val

Question

Brand A has a recognition value worth ​$47 billion more than brand B. If the total value of these two brands is ​$103 ​billion, find the value of each of the brands.

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Aubrey 2 days 2021-09-09T07:55:00+00:00 1 Answer 0

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    2021-09-09T07:56:33+00:00

    Answer:

    The value of brand A=$75 billions

    The value of brand B=$28 billions.

    Step-by-step explanation:

    Let the value of brand B be x billions.

    We are told that brand A worth $47 more than brand B.

    This implies that in terms of x the value of brand A is (x+47) billions.

    Also, the total of both brand is $103 billions. Hence, we can write the following mathematics equation and solve for x.

     \implies x + x + 47 = 103

    \implies 2x+ 47 = 103

    subtracting 47 from both sides.

    \implies 2x+ 47 - 47= 103 - 47

    \implies 2x=56

    Dividing through by 2.

    \implies  \frac{2x}{2} = \frac{56}{2}

    \implies x=28

    Therefore,

    the value of brand B is $28 billions, and

    the value of brand A=($28+$47)=$75.

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