UPSC Exam > UPSC Questions > X/2-x/3=6-x/4 and check your result?
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X/2-x/3=6-x/4 and check your result?
Most Upvoted Answer
X/2-x/3=6-x/4 and check your result?
Step-by-step Solution:
- Step 1: Simplify the equation
- Step 2: Solve for X
- Step 3: Check the solution
We start by simplifying the equation X/2 - X/3 = 6 - X/4.
To do this, we find a common denominator for the fractions on the left side of the equation:
X/2 - X/3 = (3X - 2X)/6 = X/6.
Therefore, the equation simplifies to X/6 = 6 - X/4.
To solve for X, we need to get rid of the denominators by multiplying both sides of the equation by 12 (the least common multiple of 6 and 4):
12 * (X/6) = 12 * (6 - X/4)
2X = 72 - 3X
5X = 72
X = 72/5
X = 14.4
To check if X = 14.4 is the correct solution, we substitute it back into the original equation:
14.4/2 - 14.4/3 = 6 - 14.4/4
7.2 - 4.8 = 6 - 3.6
2.4 = 2.4
Conclusion:
The solution to the equation X/2 - X/3 = 6 - X/4 is X = 14.4. This solution satisfies the original equation when substituted back in, confirming its correctness.
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X/2-x/3=6-x/4 and check your result? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X/2-x/3=6-x/4 and check your result? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X/2-x/3=6-x/4 and check your result?.
X/2-x/3=6-x/4 and check your result? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X/2-x/3=6-x/4 and check your result? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X/2-x/3=6-x/4 and check your result?.
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