algebra

The sum of a number and three times another number is 18. Find the number if their product is a maximum.

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  1. x + 3y = 18
    z = xy = (18-3y)(y) = 18y-3y^2
    This is just a parabola with vertex (maximum value) at y=3

    so, x=9, y=3

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  2. thirty times a number less three

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  3. the difference between eight and thrice a number plus eight

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  4. five less than a number is fifty

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  5. half a number decreased by ten

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  6. if the number is tripled,the result will be the same as when 28 is added to the number.What is the number

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  7. thirty times a number less three
    30n-3

    the difference between eight and thrice a number plus eight
    8-3n+18

    five less than a number is fifty
    5-n=15

    half a number decreased by ten
    1/2n-10

    if the number is tripled,the result will be the same as when 28 is added to the number.What is the number?
    Answer
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    KnowMyPain

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    Let the number be x

    According to question.

    3x = x+28

    2x = 28

    x = 14.

    The number is 14.

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