Question

The average age of doctors and lawyers together 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

let the number of doctors is $x$ and number of lawyers is $y$.

sum of age of doctors be $s$ and sum of age of lawyers be $r$.

$\therefore \frac{s}{x}=35\frac{r}{y}=50$

$\frac{(s+r)}{(x+y)}=40$

$35x+50y=40x+40y$

$5x=10y$

$\frac{x}{y}=2:1$