The average age of consisting doctors and lawyers is 40. If the doctors average age is 35 and the lawyers average age is 50, find the ratio of the number of doctors to the number of lawyers.
Given:
Average age of doctors and lawyers = 40 Average age of doctors = 35
Average age of lawyers = 50
To find: Ration of number of doctors to the number of lawyers
Let a = Number of doctors
b = Number of lawyers
x = total age of doctors
y = total age of lawyers
According to the problem, 
ð x = 35a and y = 50b
Total age of doctors and lawyers = x+y
According to the problem, 
ð 
ð 
ð 
ð 
ð 
Therefore, the ratio of ages of doctors and lawyers is 2:1
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