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The average age of 2/3rd of the class is 17. What should be the average the age of the remaining l/3rd students so that the average age of the entire class is 20?
- a)21
- b)22
- c)24
- d)26
Correct answer is option 'D'. Can you explain this answer?
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The average age of 2/3rd of the class is 17. What should be the averag...
Correct answer is 26.
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The average age of 2/3rd of the class is 17. What should be the averag...
Correct answer is 26.
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The average age of 2/3rd of the class is 17. What should be the averag...
Given:
- The average age of 2/3rd of the class is 17.
To find:
- The average age of the remaining 1/3rd students so that the average age of the entire class is 20.
Solution:
Let the total number of students in the class be x.
- According to the given condition, 2/3rd of the class has an average age of 17. So the total age of 2/3rd of the students is:
2/3 * x * 17 = (34/3) * x
- Let the total age of the remaining 1/3rd of the students be y. Then the average age of the remaining 1/3rd of the students should be:
y/(x/3)
- The total age of all the students in the class is:
(34/3) * x + y
- According to the question, the average age of the entire class is 20. So the total age of all the students in the class should be:
20x
- Equating the above two expressions for the total age, we get:
(34/3) * x + y = 20x
- Simplifying the above equation, we get:
y = (26/3) * x
- Therefore, the average age of the remaining 1/3rd of the students should be:
y/(x/3) = [(26/3) * x]/(x/3) = 26
Hence, the correct answer is option D, i.e., 26.
- The average age of 2/3rd of the class is 17.
To find:
- The average age of the remaining 1/3rd students so that the average age of the entire class is 20.
Solution:
Let the total number of students in the class be x.
- According to the given condition, 2/3rd of the class has an average age of 17. So the total age of 2/3rd of the students is:
2/3 * x * 17 = (34/3) * x
- Let the total age of the remaining 1/3rd of the students be y. Then the average age of the remaining 1/3rd of the students should be:
y/(x/3)
- The total age of all the students in the class is:
(34/3) * x + y
- According to the question, the average age of the entire class is 20. So the total age of all the students in the class should be:
20x
- Equating the above two expressions for the total age, we get:
(34/3) * x + y = 20x
- Simplifying the above equation, we get:
y = (26/3) * x
- Therefore, the average age of the remaining 1/3rd of the students should be:
y/(x/3) = [(26/3) * x]/(x/3) = 26
Hence, the correct answer is option D, i.e., 26.
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The average age of 2/3rd of the class is 17. What should be the average the age of the remaining l/3rd students so that the average age of the entire class is 20?a)21b)22c)24d)26Correct answer is option 'D'. Can you explain this answer?
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