The product of two positive numbers is 144. One of the numbers is greater than the other by 10.
Answer the questions given below:
(i) If the smaller number is taken as x, express the larger number in terms of x and frame a quadratic equation involving x using the given condition.
(ii) Solve the quadratic equation obtained in part (i) and write the two numbers.
(iii) Find the numerical value of the difference between the reciprocals of the two numbers obtained in part (ii).