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The sum of the numerator and denomina...

The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator becomes half the denominator. Determine the fraction.

Text Solution

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The correct Answer is:
` x – y = – 3, 2x – y = 1`
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Knowledge Check

  • The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

    A
    `(3)/(8)`
    B
    `(3)/(7)`
    C
    `(4)/(8)`
    D
    `(2)/(7)`

  • The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then denominator is eight times the numerator. The fraction is

    A
    `9/13`
    B
    `5/9`
    C
    `3/7`
    D
    None of these

  • The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is

    A
    5
    B
    13
    C
    17
    D
    19

    • Similar Questions

    Explore conceptually related problems

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    The numerator of a fraction is 4 less than the denominator.If the numerator is decreased by 2 and denominator is increased by 1, then the denominator is eight xx the numerator. Find the fraction.

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