Question

The average age of a group consisting of doctors and lawyers is 40 years. If the doctors' average age is 35 and that of lawyers' is 50 years, then the ratio of the number of doctors to the number of lawyers is

• A. $3:2$
• B. $3:1$
• C. $2:1$
• D. $1:2$

Answer 1

Answer: (C)

$2:1$

Let m and n denote the number of doctors and lawyers, respectively. Then
$\frac{35m+50n}{m+n}=40$
So, $40(m+n)=35m+50n$
$5m=10n⟹\frac{m}{n}=2$