10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Pair of Linear Equations in Two Variables

  • question_answer
    Arun and Prabhat have some books with them. Once Prabhat said to Arun that, if Arun gives 3 books to Prabhat then Arun will have only - of the books that Prabhat ; will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ____.                     

    A)  25                            

    B)  56                   

    C)            30                    

    D)          Can't be determined              

    Correct Answer: C

    Solution :

    Let Arun has x books and Prabhat has y books. According to the question,                     \[x-3=\frac{1}{2}(y+3)\]  \[\Rightarrow \] \[2x=y+9\]       ... (1) Also,  \[x+2=y-2\,\,\,\Rightarrow \,\,\,x+4=y\]      ?.(2) Solving (1) and (2), we get                    \[x=13\]and \[y=17\,\,\,\Rightarrow \,\,\,\,\,\,x+y=30\]        

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