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If a number is added yo the numerator of 12/43 and twice the number is added to the denominator of 12/43 the resuliting fraction is equivalent to 1/3 find the number

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  1. 26 May, 21:45
    0
    The number is 7.

    Step-by-step explanation:

    In this case we have an unkown variable that is a number. We will call this number by "x", this is what we want to calculate. In the first part it is said that the number or x is added to the numerator and in the second part it is said that twice the number is added to the denominator, and that this fraction is equal to 1/3. So we have:

    1/3 = (12 + x) / (43 + 2*x)

    43 + 2*x = 3 * (12 + x)

    43 + 2*x = 36 + 3*x

    43 - 36 = 3*x - 2*x

    x = 7

    The number is 7.
  2. 26 May, 22:02
    0
    Answer: 7

    Step-by-step explanation:

    Let the number be X

    When number is added to the numerator of 12/43, the number is 12+X/43 and twice the number is added to the denominator of 12/43, this will give 12+X/43+2X, the resuliting fraction is equivalent to 1/3. Mathematically, this will be

    12+X/43+2X = 1/3

    Cross multiply

    3 (12+X) = 43+2X

    36+3X = 43+2X

    Collected like terms

    3X-2X = 43-36

    X = 7

    The number is 7
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