Question

11. The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years
and 45 years are substituted by two women. Find the average age of the two women.
​

Answer 1

Answer:

48 years

Step-by-step explanation:

ANSWER

Let the average age of 8 persons be x years

Then total age of 8 persons =8x

Also let y

1

and y

2

be the ages of the two women who replaced the two men

Then

8

8x−35−45+(y

1

+y

2

)

=x+2

⇒8x−80+y

1

+y

2

=8x+16

⇒y

1

+y

2

=96

Therefore, average age of the two women =

2

y

1

+y

2

=

2

96

=48 years