In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?
Of three positive numbers, the ratio of first and second is 5 : 2, ratio of second and third is 5 : 4. The product of first and third is 1800. What is the sum of the three numbers?