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  1. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
    2. A.

    69
    B.

    78
    C.

    96
    D.

    Cannot be determined
    E.

    None of these

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    Answer : Option D

    Explanation :

    Let the ten's digit be x and unit's digit be y.

     

    Then, x + y = 15 and x - y = 3   or   y - x = 3.

     

    Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6.

     

    Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9.

     

    So, the number is either 96 or 69.

     

    Hence, the number cannot be determined.

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