Four subtracted from four times the smaller is equal to the larger number. Twice the larger number equals six times the smaller number. What

Question

Four subtracted from four times the smaller is equal to the larger number. Twice the larger number equals six times the smaller number. What are the numbers?

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Dulcie 5 years 2021-08-05T00:02:23+00:00 2 Answers 14 views 0

Answers ( )

  1. thanhha
    0
    2021-08-05T00:03:46+00:00
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    the answer is four and twelve

  2. Bo
    0
    2021-08-05T00:04:15+00:00
    Reply

    Answer:

    12 and 4

    Step-by-step explanation:

    We could set up two equations with the given information.

    Let a be the larger number, and b be the smaller number.

    4b – 4 = a (Four subtracted from four times the smaller is equal to the larger number.)

    2a = 6b (Twice the larger number equals six times the smaller number.)

    With the 1st equation, we could substitute a = 4b – 4 into the second equation.

    We get

    2(4b-4) = 6b

    8b – 8 = 6b

    2b = 8

    b = 4

    Substituting back into the first equation,

    a = 4(4) – 4 = 12

    Therefore the two numbers are 12 and 4.

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