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  1. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

    2. A.

    18
    B.

    24
    C.

    42
    D.

    81

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    Answer : Option B

    Explanation :

    Let the ten's and unit digit be x and\(\frac { 8 } {X } \)respectively.

     

    Then,[10x +\(\frac { 8 } {X } \)]+ 18 = 10 x\(\frac { 8 } {X } \)+x

     

     10x2 + 8 + 18x = 80 + x2

     

     9x2 + 18x - 72 = 0

     

     x2 + 2x - 8 = 0

     

     (x + 4)(x - 2) = 0

     

     x = 2.

     

     

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