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

  • question_answer
    There are two positive numbers such that sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36. The larger of the two is:

    A) 6

    B) 8

    C) 9

    D) 10

    Correct Answer: C

    Solution :

    [c] Let first integer\[=x\] and second integer \[=y\]
    \[\therefore \,\,\,\,\,\,\,\,\,\,2x+3y=39\] and \[3x+2y=36\]
    Solving both the equations, we get \[x=6\] and \[y=9\]


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