Question

6. Find the combined average age of a group of 150 people, if the average age of 50 people is that of the other 100 people is 60.​

Answer 1

Answer:

60 years

Step-by-step explanation:

We know that average=

sum of quantity/number of quantity

Let the sum of ages of 50 people be 'x'

therefore, average age of 50 people=

sum of ages/number of people = x/50

Let the sum of ages of 100 people be 'y'

therefore, average age if 100 people=

sum of ages/number of people = y/100

It is said,

x/50=y/100=60

x/50=60 y/100=60

x=3000 y=6000

now we know, sum of ages of 50 people=x=3000

sum of ages of 100 people=y=6000

therefore, combined average of (100+50) = 150 people=

(Sum of ages of 50 people+sum of ages of 100 people)/ total number of people

=(x+y)/150

=(3000+6000)/150

=9000/150

=60

Answer: Combined average age of this group of 150 people is 60 years.