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  1.  

    What is the sum of two consecutive even numbers, the difference of whose squares is 84?
    2. A.

    34
    B.

    38
    C.

    42
    D.

    46

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    Answer : Option C

    Explanation :

    Let the numbers be x and x + 2.

     

     Then, (x + 2)2 - x2 = 84

     

      4x + 4 = 84

     

     4x = 80

     

     x = 20.

     

     The required sum = x + (x + 2) = 2x + 2 = 42.

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