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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 student divides the given number by 5 if t by the answer 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 ...
Problem:


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 student divides the given number by 5 if it by the answer 4 short of the correct answer. Then the number was?

Solution:


Let's assume the number to be x.

Step 1: Calculate the first half of the number


Half of the number = x/2


Dividing half of the number by 6, we get:


x/2 ÷ 6 = x/12

Step 2: Calculate the other half of the number


Other half of the number = x/2


Dividing the other half of the number by 4, we get:


x/2 ÷ 4 = x/8

Step 3: Add the two quantities


Adding the two quantities, we get:


x/12 + x/8 = (2x + 3x)/24 = 5x/24

Step 4: Calculate the correct answer


As per the question, the student divides the given number by 5 if it by the answer 4 short of the correct answer. Let's calculate the correct answer:


Correct answer = (5x/24) + 4 = (5x + 96)/24

Step 5: Find the value of x


According to the question, the student divided the given number by 5 and got an answer 4 short of the correct answer. Hence, we get:


x/5 = (5x + 96)/24 - 4


x/5 = (5x + 96 - 96)/24


x/5 = 5x/24


Multiplying both sides by 24, we get:


24x/5 = 5x


24x = 25x


x = 0

Conclusion:


The number in the question is 0.
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_.
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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 student divides the given number by 5 if t by the answer 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 student divides the given number by 5 if t by the answer 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 student divides the given number by 5 if t by the answer 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 student divides the given number by 5 if t by the answer 4 short of the correct answer then the number was?.
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