Question

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.
​

Answer 1

Answer:

2:1

Step-by-step explanation:

Let x = no of doctors  

Let y = no of lawyers  

The total age of all doctors is 35x  

The total age of all lawyers is 50y  

The total age of all doctors and lawyers is 35x + 50y  

The total number of doctors and lawyers is x + y  

The average age of all doctors and lawyers is 40  

(35x + 50y) / (x + y) = 40  

35x + 50y = 40x + 40y  

-5x = -10y  

x/y = -10/-5  

x/y = 2/1  

Ratio of doctors to lawyers is 2:1

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Answer 2

Answer:

2:1

Step-by-step explanation:

Given:

Average age of Lawyers and Doctors together is 40

Doctor's average age is 35

Lawyer's average age is 50

Total age of Doctors and Lawyers = Sum of Lawyers age + Sum of doctors age

∴ Total age = 50y + 35x .............(2)

→ From equation (1) and (2) ←

 40x + 40y = 50y + 35x

 40x – 35x = 50y – 40y

 5x = 10y

 x/y = 10/5

 x/y = 2/1

 x : y = 2 : 1

Hence, The ratio of Doctors age (x) to the Lawyers age (y) is 2:1

To Find:

Ratio of number of Doctors to the Lawyers

Solution: Let the number of doctors be x and Lawyers be y

A/q

† Their average age is 40 †

 Total age = 40(x + y ) = 40x + 40y..............(1)

★ Doctors average age= 35(x) = 35x

★ Lawyers average age = 50(y) = 50y

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