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  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear equations in One Variable

  • question_answer
    Find two parts of 34 such that \[{{\left( \frac{\text{4}}{\text{7}} \right)}^{\text{th}}}\]of one part is equal to \[{{\left( \frac{2}{5} \right)}^{\text{th}}}\] of the other.

    A)  16, 18            

    B)  14, 20

    C)         15, 19

    D)         None of these 

    Correct Answer: B

    Solution :

    Let one part be \[x\] Then, other part be \[34-x\] According to question, we have \[\frac{4}{7}(x)=\frac{2}{5}(34-x)\Rightarrow \frac{4x}{7}=\frac{68}{5}-\frac{2x}{5}\] \[\Rightarrow \frac{4x}{7}+\frac{2x}{5}=\frac{68}{5}\Rightarrow \frac{20x+14x}{35}=\frac{68}{5}\] \[\Rightarrow \frac{34}{35}\times x=\frac{68}{5}\Rightarrow x=\frac{68}{5}\times \frac{35}{34}\] \[\Rightarrow x=2\times 7\Rightarrow x=14\] \[\therefore \] One part =14 and Other part =34-14=20


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