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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    If the difference of two numbers is 3 and the difference of their squares is 39, then the larger number is

    A) 8

    B)  9       

    C)  12

    D)  13

    Correct Answer: A

    Solution :

    Let the numbers be a and b, where a > b. According to the question,                                     \[a-b=3\] and                   \[{{a}^{2}}-{{b}^{2}}=39\]              ?(i) \[\Rightarrow \]   \[(a+b)(a-b)=39\] \[\Rightarrow \]   \[a+b=\frac{39}{a-b}=\frac{39}{3}=13\] \[\Rightarrow \]   \[a+b=13\]                    ?(ii) On adding Eqs. (i) and (ii), we get \[2a=16;\]\[a=8\]


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