The average of a set of 4 numbers is 20. the average of another set of 6 numbers is 74. what is the average of the 10 numbers?

Let

x> the sum of the 4 numbers in the average 1

y> the sum of the 6 numbers in the average 2

we know that

x/4=20> x=20*4=80

y/6=74> y=6*74=444

so

The average of the 10 numbers is equal to

(x+y)/10=(444+80)/10> 52.4

therefore

the answer is

the average of the 10 numbers is 52.4

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2