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  1. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

    2. A.

    20
    B.

    23
    C.

    169
    D.

    None of these

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    Answer : Option B

    Explanation :

    Let the numbers be x and y.

     

    Then, xy = 120 and x2 + y2 = 289.

     

     (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529

     

     x + y = \(\sqrt{529}\)=23

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