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One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added?
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One students is asked to divide a half of a number by 6 and other half...
Understanding the Problem
The problem involves a student miscalculating the division of a number. Let's break down the correct approach and the student's mistake.
Correct Approach
- Dividing the Number: The student should have divided the number into two halves:
- Half of the number is divided by 6.
- The other half is divided by 4.
- Adding the Results: The results of these two divisions should then be added together to yield the correct answer.
Student's Mistake
- Incorrect Division: Instead of following the correct process, the student divides the entire number by 5.
- Result of the Incorrect Method: This incorrect division yields a result that is 4 less than the correct answer.
Mathematical Representation
- Let the number be represented as 'x'.
- The correct answer would be: (x/2)/6 + (x/2)/4 = (x/12) + (x/8).
- The common denominator for 12 and 8 is 24, so:
- Correct answer = (2x/24) + (3x/24) = (5x/24).
- The student's calculation gives:
- Incorrect answer = x/5.
- According to the problem, the incorrect answer is 4 less than the correct one:
- x/5 = (5x/24) - 4.
Conclusion
The "4" represents the difference between the correct and incorrect answers, indicating how much the student's method fell short. This highlights the importance of following the correct procedure to avoid errors in mathematical calculations.
The problem involves a student miscalculating the division of a number. Let's break down the correct approach and the student's mistake.
Correct Approach
- Dividing the Number: The student should have divided the number into two halves:
- Half of the number is divided by 6.
- The other half is divided by 4.
- Adding the Results: The results of these two divisions should then be added together to yield the correct answer.
Student's Mistake
- Incorrect Division: Instead of following the correct process, the student divides the entire number by 5.
- Result of the Incorrect Method: This incorrect division yields a result that is 4 less than the correct answer.
Mathematical Representation
- Let the number be represented as 'x'.
- The correct answer would be: (x/2)/6 + (x/2)/4 = (x/12) + (x/8).
- The common denominator for 12 and 8 is 24, so:
- Correct answer = (2x/24) + (3x/24) = (5x/24).
- The student's calculation gives:
- Incorrect answer = x/5.
- According to the problem, the incorrect answer is 4 less than the correct one:
- x/5 = (5x/24) - 4.
Conclusion
The "4" represents the difference between the correct and incorrect answers, indicating how much the student's method fell short. This highlights the importance of following the correct procedure to avoid errors in mathematical calculations.
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One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added?
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One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added?.
One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One students is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities instead of doing so the student divides the given number by 5 if the answer is four short of the correct answer then the number was in this question why that 4 is added?.
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