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6th Class Mental Ability Algebra Question Bank Algebra

  • question_answer
    If \[\left( \mathbf{4x}+\mathbf{5} \right):\left( \mathbf{3x}+\mathbf{11} \right)=\mathbf{13}:17,\] find the value of x,

    A) \[x=4\]            

    B)        \[x=6\]

    C) \[x=2\]   

    D)        \[x=1\]

    E) None of these   

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct because. We have, \[\left( 4x+5 \right):\left( 3x+11 \right)=13:17\] \[\Rightarrow \frac{4x+5}{3x+11}=\frac{13}{17}\] \[\Rightarrow 17\left( 4x+5 \right)=13\left( 3x+11 \right),\] \[\Rightarrow 68x+85=39x+143\] \[\Rightarrow 68x-39x=143-85\] \[\Rightarrow 29x=58\] \[\Rightarrow x=\frac{58}{29}=2.\]           


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