Consider statement 1:$$(x+y)(1/x + 1/y) = 4$$ $$(x+y)^2/xy = 4$$ $$x^2+y^2+2xy = 4xy$$ $$x^2+y^2+2xy-4xy = 0$$ $$(x-y)^2 = 0$$ x = y. Consider statement 2:$$(x-50)^2 = (y-50)^2$$ (x-y)(x+y-100) = 0 Either x = y or x+y = 100. Statement 1 is sufficient whereas statement 2 is not sufficient to answer the question.
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