Question

The average age of 10 out of 40 workers in a factory is 33 years. The average age of 20 workers is 23.5 years. The average age of the remaining workers is 20 years. What is the average age of all the workers?
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Answer 1

Answer:

Step-by-step explanation:

y=36 years

PREMISES

y=the average age of 15 men and 10 women (collectively)

ASSUMPTIONS

Let the number of men=15

Let the number of women =10

Let the average age of men=40 years

Let the average age of women=30 years

CALCULATIONS

y=[15(40)+10(30)]/25

y=(600+300)/25

y=900/25

y=

36 years

PROOF

If y=36 years, then the inverse of the expression 900/25 returns

y×25=900

36 years(25)=900

36(20)+36(5)=900

720+180=900 and

900=900 proves the solution y=36 years to the expression [15(40)+10(30)]/25

C.H.

Answer 2

Answer:

$average \: age = \frac{33 + 23.5 + 20}{3} \\ = \frac{76.5}{3} \\ = 25.5$

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