Question 242660
the ratio of doctors to lawyers is 2/1 calculated as follows:


d = number of doctors
l = number of lawyers.


total age for doctors is d*35


total age for lawyers is l*50


total age for both is (d+l) * 40


since the total age for both is equal to the total age for doctors plus the total age for lawyers, we have:


35*d + 50*l = 40*(l+d)


this becomes:


35*d + 50*l = 40*l + 40*d


subtract 40*l from both sides of the equation and subtract 35*d from both sides of the equation and you get:


10*l = 5*d


divide 5 from both sides of the equation and you get:


d = 2*l


this means that the number of doctors is 2 times the number of lawyers.


take any value of doctors.


say 52


number of lawyers must be equal to 26 since d = 2*l.


total age for doctors is 52*35 = 1820


total age for lawyers is 26*50 = 1300


total age for doctors and lawyers is 3120


divide 3120 by total number of doctors and lawyers of 52+26 = 78 and you get:


average age of doctors is 40.


your answer is that the ratio of doctors to lawyers is 2 to 1.