SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of two numbers is 45. Their difference is of their sum. Their LCM is

    A) 200      

    B)  250    

    C)  100

    D)  150

    Correct Answer: C

    Solution :

    Let the number be x and y.
    According to the question,
    \[\therefore \]                  \[x+y=45\]                    ...(i)
    Again,               \[x-y=\frac{1}{9}(x+y)\]
    \[\Rightarrow \]   \[x-y=\frac{1}{9}\times 45\]\[\Rightarrow \]\[x-y=5\]          ?(ii)
    On adding Eqs. (i) and (ii), we have
    \[\begin{align}   & x+y=45 \\  & \frac{x-y=5}{2x=50} \\ \end{align}\]
                \[\Rightarrow \]               \[x=25\]
                \[\therefore \]                  \[y=45-25=20\]
    Now, LCM of 25 and 20 = 100


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