SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-3

  • question_answer
    The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

    A)  135                             

    B)  240

    C)  73                   

    D)         106  

    Correct Answer: D

    Solution :

     Let the numbers be \[x\] and\[y\,\,\text{and}\]\[x>y\]. \[\therefore \]      \[xy=45\] and       \[x-y=4\] \[\therefore \]      \[{{x}^{2}}+{{y}^{2}}={{(x-y)}^{2}}+2xy\]             \[={{(4)}^{2}}+2\times 45=16+90\]             \[=106\]


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