If three times a number added to 4 is divided by the number plus 4, the result is eight thirds. Find the number

Question

If three times a number added to 4 is divided by the number plus 4, the result is eight thirds. Find the number

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Melanie 2 weeks 2021-09-14T20:36:31+00:00 1 Answer 0

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    2021-09-14T20:37:33+00:00

    If three times a number added to 4 is divided by the number plus 4, the result is eight thirds, then the number is 20

    Solution:

    Given that three times a number added to 4 is divided by the number plus 4, the result is eight thirds

    To find: the number

    Let the required number be “a”

    Let us first break the given sentence

    three times a number = 3a

    three times a number added to 4 = 3a + 4

    number plus 4 = a + 4

    three times a number added to 4 is divided by the number plus 4 = \frac{3a + 4}{a + 4}

    three times a number added to 4 is divided by the number plus 4, the result is eight thirds which means:

    \frac{3a + 4}{a + 4} = \frac{8}{3}

    On solving we get,

    9a + 12 = 8a + 32

    9a – 8a = 32 – 12

    a = 20

    Thus the required number is 20

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