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

  • question_answer
    A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. He does 24 sums and obtains 37 marks. What was the number of correct sums?

    A)  \[20\]                                  

    B)                         \[17\]                                  

    C)                         \[31\]                                                  

    D)                         \[19\]

    Correct Answer: B

    Solution :

    Let the number of correct answers be 'x'. Then the number of incorrect answers is\[24-x\]. The boy gets 3 marks for correct answers and loses 2 marks for wrong answers. \[\therefore \]  Total marks \[3x-2\,\,(24-x)=37\] (Given)                 \[\Rightarrow \]               \[3x-48+2x=37\]                 \[\Rightarrow \]               \[5x=37+48\]                 \[\Rightarrow \]               \[x=17\]  \[\therefore \]  The number of correct sums is 17.


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