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SSC Sample Paper SSC CGL - Sample Paper-9

  • question_answer
    The product of two numbers is 120 and the sum of their squares is 289. The sum of the two numbers is

    A)  23       

    B)  7

    C)  13                               

    D)  169

    Correct Answer: A

    Solution :

    Let the numbers be a and b. According to the question,             \[ab=120\]                     ? (i)             \[{{a}^{2}}+{{b}^{2}}=289\]                       ? (ii) \[\therefore \]      \[{{(a+b)}^{2}}={{a}^{2}}+{{b}^{2}}+2ab\]             \[=289\times 2\times 120=289+240=529\] \[\therefore \]      \[a+b=\sqrt{529}=23\]             


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