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7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    184 is divided into two parts such that one-third of one part may exceed one -seventh of the other part by 8, then the greater part is____.                             

    A)  72                  

    B)         110                

    C)         112                

    D)         114    

    Correct Answer: C

    Solution :

    Let the one part be x. Then, the other part will be\[184-x\]. According to question, \[\frac{1}{3}\times x=\frac{1}{7}(184-x)+8\Rightarrow \frac{x}{3}=\frac{184}{7}-\frac{x}{7}+8\] \[\Rightarrow \]\[\frac{x}{3}+\frac{x}{7}=\frac{184}{7}+8\Rightarrow \frac{10x}{21}=\frac{240}{7}\] \[\Rightarrow \] \[x=\frac{240\times 21}{7\times 10}=72\] \[\therefore \]First part = 72 and second part \[=184-72=112\]


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