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    Question

    If x ,y,z are three integers such that x +y = 8,y +z =13

    and z +x =17,then the value of x2 /yz   is:
    A 7/5 Correct Answer Incorrect Answer
    B 18/11 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer

    Solution

    x + y = 8 ----(1)   y + z = 13 ----(2) z + x = 17 ----(3) Eq (1) + (2) + (3), 2(x + y + z) = 8 + 13 + 17   x + y + z = 38/2 = 19 ----(4) From eq (3) and (4),   x + 13 = 19 x = 6 From eq(3), z + x = 17 z + 6 = 17 z = 11 From eq(2), y + z = 13   y + 11 = 13   y = 2 x2/yz =  62  /  2×11 =36 / 22=18/11

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