the weight of four boxes together 66.6 the weight of box B is 2kg less than box A and little weight of box C is 1.5kg more than bo

the weight of four boxes together 66.6 the weight of box B is 2kg less than box A and little weight of box C is 1.5kg more than box A the weight of box D is 1.5 more than box C find the weight of each box

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  1. Answer:

    From the given data we can write

    B=A−2

    C=A+1.5

    D=C+1.5=A+1.5+1.5=A+3

    We have A+B+C+D=66.5

    ⇒A+A−2+A+1.5+A+3=66.5

    ⇒4A=64

    ⇒A=16

    Therefore box A weighs 16kg, box B weighs 16−2=14kg, box C weighs 16+1.5=17.5kg and box D weighs 16+3=19kg

    Hence A weighs 16kg

    B weighs 14kg

    C weighs 17.5kg

    D weighs 19kg

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