Quant Exam  >  Quant Questions  >  The average age of women and child workers in... Start Learning for Free
The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.
  • a)
    16
  • b)
    17
  • c)
    18
  • d)
    15
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average age of women and child workers in a factory was 20 year. T...
Women workers = x
26x + 12 x 8 = 20 (12+x)
⇒ 26x + 96 = 240 + 20x
⇒ 6x = 144
∴ x = 24
∴ Unmarried women workers = 24 – 9 = 15
View all questions of this test
Most Upvoted Answer
The average age of women and child workers in a factory was 20 year. T...
Given data:
- Average age of women and child workers in a factory = 20 years
- Average age of all 12 children = 8 years
- Average age of women workers = 26 years
- Number of married women workers = 9

To find: Number of unmarried women workers

Solution:
Let the number of women workers be x and the total number of workers be y (including children).
Then, we can write two equations based on the given data:

1. (26x + 8(12))/(x + 12) = 20
- This equation represents the average age of women and child workers in the factory, which is 20 years.
- 26x represents the total age of women workers and 8(12) represents the total age of all 12 children.
- x + 12 represents the total number of workers (women and children) in the factory.

2. 26x = 9(26) + m(20)
- This equation represents the total age of women workers in the factory, which is equal to the sum of the total age of married women workers (9 women with an average age of 26 years) and the total age of unmarried women workers (m women with an average age of 20 years).
- We can simplify this equation as 26x = 234 + 20m.

Now, we can solve these two equations to find the value of x (number of women workers) and m (number of unmarried women workers).

From equation 1:
26x + 96 = 20x + 240
6x = 144
x = 24

From equation 2:
26(24) = 234 + 20m
624 = 234 + 20m
20m = 390
m = 19.5

Since the number of unmarried women workers must be a whole number, we can round off 19.5 to 20 and conclude that there are 20 unmarried women workers in the factory.

Therefore, the correct answer is option D) 15.
Explore Courses for Quant exam
The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The average age of women and child workers in a factory was 20 year. The average age of all the 12 children was 8 year and average age of women workers was 26 year. If 9 women workers were married, then the number of unmarried women workers was.a)16b)17c)18d)15e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev