(3) The difference between two numbers is 8. If the larger is subtracted from three times the smaller, the difference is 100. Fi

Question

(3) The difference between two numbers is 8. If the larger is

subtracted from three times the smaller, the difference is 100. Find

the numbers.

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Ngọc Hoa 5 months 2021-08-15T06:54:15+00:00 1 Answers 8 views 0

Answers ( )

    0
    2021-08-15T06:55:55+00:00

    Answer:

    x= 62

    y= 54

    Step-by-step explanation:

    Step one:

    given data

    let the numbers be x and y and the larger be x the smaller be y

    The difference between two numbers is 8

    x-y= 8———–1

    If the larger is  subtracted from three times the smaller, the difference is 100

    3y-x=100————2

    from eqn 1, x= 8+y

    put this in eqn 2

    3y-(8+y)=100

    3y-8-y=100

    collect liker terms

    3y-y-8=100

    2y=108

    y= 54

    put y= 54 in eqn 1

    x-y=8

    x-54= 8

    x= 8+54

    x=62

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