Question

3. Average age of 8 persons increased
by 2 years, when two men whose
ages are 20 and 24 years are
replaced by two women. What is
the average age of women?
(a) 30 years
(c) 28 years
(b) 31 years
(d) 33 years​

Answer 1

Answer :

• 30 years is the average age of women.

Given :

• Average age of 8 persons increased by 2 years
• When 2 men whose ages are 20 and 24 years are replaced by two women

To find :

• What is the average age of women

Solution :

• Let the sum of age of 8 men be x
• Let the age of women be y

Average age of 8 persons increased by 2 years then 8(x + 2)

when two men whose ages are 20 and 24 years are replaced by two women then,

According to this ,

》8x - 20 - 24 + y = 8(x + 2)

》8x - 44 + y = 8x + 16

》y = 16 + 44

》y = 60

Now , we need to find the Average age of women :

》 Average age of women = y/2

Where, y is 60

》y/2

》60/2

》30 years

Hence , 30 years is the average age of women.

Verification :

》y = 16 + 44

》60 = 60

Hence, Verified