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18 November, 08:54

The denominator of a fraction is four more than three times the numerator. If both numerator and denominator are increased by four, the simplified result is 9/25. Find the original fraction. (Do NOT simplify.)

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  1. 18 November, 09:06
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    Let the numerator = x. Then,

    The fraction is x / (3x+4).

    If both the numerator and denominator are increased by 4, the fraction will be (x+4) / (3x+8), which, according to the question is equal to 9/25. So,

    (x+4) / (3x+8) = 9/25

    25 (x+4) = 9 (3x+8)

    25x + 100 = 27x + 72

    2x = 28

    x = 14

    Thus, the numerator is 14 and the denominator is (3*14 + 4), which is equal to 46. So the fraction is 14/46.
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