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10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

  • question_answer
    A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is:

    A) 2

    B) 3

    C) 5

    D) 15

    Correct Answer: D

    Solution :

    [d] Let the fraction be \[\frac{x}{y}\]
    \[\frac{x+1}{y+1}=4\]                          ...(1)
    and       \[\frac{x-1}{y-1}=7\]                 ...(2)
    On solving eqs. (1) and (2), we get
                \[x=15,\,\,\,y=3\]
    i.e..       \[x=15\]


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