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 member!
of doctors to the number of lawyers​

Answer 1

Answer:2:1

Step-by-step explanation:

Answer 2

Answer:

☆ Ratio will be 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

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 †

$\small\implies{\sf }$ Total age = 40(x + y ) = 40x + 40y..............(1)

★ Doctors average age= 35(x) = 35x

★ Lawyers average age = 50(y) = 50y

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

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

→ From equation (1) and (2) ←

$\small\implies{\sf }$ 40x + 40y = 50y + 35x

$\small\implies{\sf }$ 40x – 35x = 50y – 40y

$\small\implies{\sf }$ 5x = 10y

$\small\implies{\sf }$ x/y = 10/5

$\small\implies{\sf }$ x/y = 2/1

$\small\implies{\sf }$ x : y = 2 : 1

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