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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    If \[\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}\]and \[\frac{4}{x}+\frac{9}{y}=\frac{21}{xy},\]where \[x\ne 0\] and \[y\ne 0,\]then what is the value of \[x+y?\]

    A) 2

    B)  3      

    C)  4

    D)  8

    Correct Answer: C

    Solution :

    Given,   \[\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}\] \[\Rightarrow \]   \[2y+3x=9\]                              ...(i) and       \[\frac{4}{x}+\frac{9}{y}=\frac{21}{xy}\]\[\Rightarrow \]\[4y+9x=21\]    ...(ii) On solving Eqs. (i) and (ii),we get \[x=1\]and \[y=3\] \[\therefore \]      \[x+y=1+3=4\]


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