Question

The average age of doctors and lawyers together is 40. If the doctor average age is 35 and lawyers average age is 50. Find the ratio of the number of doctors to the number of the lawyers.

Answer 1

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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'.

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

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

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

$5x = 10y$

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

$= > 2:1$

Answer 2

Answer:

QUESTION:

The average age of doctors and lawyers together is 40. If the doctor average age is 35 and lawyers average age is 50. Find the ratio of the number of doctors to the number of the lawyers.

Let's assume:

The number of doctors= x

The number of lawyers= y

Total number of doctors=35x

Total number of lawyers=50y

Total number of doctors and lawyers= (x+y)40

SOLUTION:

Step-by-step explanation:

35x+50y=(x+y)40

35x+50y=40x+40y

35x-40x=40y-50y

5x=10y

x/y=10/5

x/y=2/1

=2:1

The ratio of number of doctors and number of lawyers is 2:1

Hope it helps you☺️