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  5. Pair of Linear Equations in Two Variables

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

  • question_answer
    x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then value of \[\text{x}+\text{y}\] is:

    A) 10

    B) 11

    C) 12

    D) 13

    Correct Answer: B

    Solution :

    [b] The numbers that can be formed are \[xy\] and \[yx\]. Hence,
    \[(10x+y)+(10y+x)=11\,(x+y).\]If this is a perfect square that \[x+y=11\].


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