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One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was?
Most Upvoted Answer
One student is asked to divide a half of a number by 6 and other half ...
Solution:
Let's assume the given number is "x"
Dividing half of the number by 6 = (x/2)/6 = x/12
Dividing other half of the number by 4 = (x/2)/4 = x/8
Adding the above two quantities = x/12 + x/8 = 5x/24
Given, the student divided the given number by 5 instead of doing the above calculation.
So, the student got (x/5) as the answer which is 4 short of the correct answer.
Mathematically,
(x/5) + 4 = 5x/24
Multiplying both sides by 120 to eliminate fractions,
24x + 480 = 25x
x = 480
Therefore, the given number is 480.
Explanation:
- To solve the problem, we need to understand what the student should have done and what the student did instead.
- The problem asked the student to divide half of the number by 6 and the other half by 4, and then add the two quantities.
- The correct calculation would be x/12 + x/8 = 5x/24.
- Instead of doing this calculation, the student divided the given number by 5.
- We can set up an equation based on the student's incorrect answer and the correct answer to solve for the original number.
- Solving the equation gives us the original number, which is 480.
Let's assume the given number is "x"
Dividing half of the number by 6 = (x/2)/6 = x/12
Dividing other half of the number by 4 = (x/2)/4 = x/8
Adding the above two quantities = x/12 + x/8 = 5x/24
Given, the student divided the given number by 5 instead of doing the above calculation.
So, the student got (x/5) as the answer which is 4 short of the correct answer.
Mathematically,
(x/5) + 4 = 5x/24
Multiplying both sides by 120 to eliminate fractions,
24x + 480 = 25x
x = 480
Therefore, the given number is 480.
Explanation:
- To solve the problem, we need to understand what the student should have done and what the student did instead.
- The problem asked the student to divide half of the number by 6 and the other half by 4, and then add the two quantities.
- The correct calculation would be x/12 + x/8 = 5x/24.
- Instead of doing this calculation, the student divided the given number by 5.
- We can set up an equation based on the student's incorrect answer and the correct answer to solve for the original number.
- Solving the equation gives us the original number, which is 480.
Community Answer
One student is asked to divide a half of a number by 6 and other half ...
Let the number be x.
[(x/2)÷6] + [(x/2)÷4] = x/5 + 4
x/12 + x/8 - x/5 = 4
(10x+15x-24x)/120 = 4
25x - 24x = 4 × 120
x = 480.
The required number is _480_.
[(x/2)÷6] + [(x/2)÷4] = x/5 + 4
x/12 + x/8 - x/5 = 4
(10x+15x-24x)/120 = 4
25x - 24x = 4 × 120
x = 480.
The required number is _480_.
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One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was?
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One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was?.
One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One student 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 students divides the given number by 5. If the answer is 4 short of the correct answer then the number was?.
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