Mathematics · Quadratic Equations

Two equations are given below. Answer the question based on these equations: I. 2x2 - Px + 10 = 0 'a' and 'b' are two roots of the given equation and their sum is a + b = 4.5, where (a > b). II. 4y2 - Ry + 19 = 0 'c' and 'd' are two roots of the given equation such that the smaller root 'd' is 40% of the largest root 'a' of the first equation, where (c > d). Which of the following statements is/are correct? I. Values of a + c = b + d II. c + d = 5.75 III. a > b > c > d