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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-22

  • question_answer
    The difference between two positive numbers is 2. If the sum of their square is 650, then the sum of the number is -

    A)  36                               

    B)  38

    C)  34                               

    D)  46

    Correct Answer: A

    Solution :

     Let two positive numbers are x and y. \[\therefore \,\,\,\,x-y=2\]                                     ?.. (i) \[{{x}^{2}}+{{y}^{2}}=650\]                       ..... (ii) Squaring equation (i) we get \[{{x}^{2}}+{{y}^{2}}-2xy=4\text{ }\Rightarrow 650-2xy=4\] \[\Rightarrow \,\,\,\,-2xy=4-650=-646\] \[\Rightarrow \,\,\,-2xy=646\,\,\,\therefore \,\,\,{{(x+y)}^{2}}={{x}^{2}}+{{y}^{2}}+2xy\] \[=\,\,650+646=1296=x+y=36\] - 2xy = 4 - 650 = - 646 \[\therefore \]   Sum of two numbers =36


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