2. Sample Papers
  3. SSC

SSC Sample Paper SSC CGL - Sample Paper-25

  • question_answer
    The sum of the square of two positive numbers is 100 and difference of their square is 28, the sum of the numbers is

    A) 12                                

    B) 13

    C) 14

    D) 15

    Correct Answer: C

    Solution :

    Let first number \[=x\] and second number \[=y\] According to question, \[{{x}^{2}}+{{y}^{2}}=100\]                                   ?(i) and       \[{{x}^{2}}-{{y}^{2}}=28\]                          ?(ii) On solving Eqs. (i) and (ii), we get \[{{x}^{2}}=64\] and \[{{y}^{2}}=36\] \[\Rightarrow \]   \[x=8\] and \[y=6\] Thus, required sum \[=x+y=8+6=14\]                           


You need to login to perform this action.
You will be redirected in 3 sec spinner