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29 September, 19:56

Which shows how the distributive property can be used to evaluate

56 x 3® 1568 - 3139

13

585

+4
Answers (1)
  1. 29 September, 23:04
    0
    Answer:Hello,

    Let's assume

    a the lowest number

    b the tallest.

    HCF (a, b) = 56

    LCM (a, b) = 1568

    a*b=HCF*LCM = (2^5*7^2) * (2^3*7) = 2^8*7^3

    a=56*x

    b=56*y

    a*b=56²*x*y==>x*y=2^2*7

    The numbers possible are (56*1,56*28), (56*2,56*14), (56*4,56*7)

    (56*1,56*28) = (56,1568) is excluded.

    (56*2,56*14) = (112,784) has like HCF=112 and not 56.

    The answer is (56*4,56*7) = (224,392) which HCF is 56 and LCM=1568.
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