If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger of the two n

Question

If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger of the two numbers is:

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RobertKer 4 years 2021-08-12T13:13:23+00:00 1 Answers 16 views 0

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  1. Ladonna
    0
    2021-08-12T13:15:06+00:00
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    Answer:

    Larger number = 32

    Step-by-step explanation:

    Smaller number = x

    Larger number = y

    y – x = 8    ———–(I)

    3y = 4x  —————(II)

    3y/4 = x

    Plug in x = 3y/4 in equation (I)

    y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\

     y = 8*4

      y = 32

    Plug in y = 32 in equation (II)

    3y = 4x

    3*32 = 4x

    4x = 3*32

    x = \frac{3*32}{4}

    x = 3 *8

    x = 24

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