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If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)?
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If 2 is added to the numerator of a fraction it reduces to 1/2 and if ...
To solve this problem, we can represent the fraction as x/y, where x is the numerator and y is the denominator.
- Let's first set up the equations based on the given conditions:
1) (x + 2)/y = 1/2
2) x/(y - 1) = 1/3
- Now, let's solve the equations one by one:
### Solving the first equation:
- Cross multiplying, we get 2(x + 2) = y
- Simplifying, we get 2x + 4 = y
- This gives us our first equation: y = 2x + 4
### Solving the second equation:
- Cross multiplying, we get 3x = y - 1
- Substituting the value of y from the first equation, we get 3x = 2x + 4 - 1
- Simplifying, we get x = 3
### Finding the value of y:
- Substituting x = 3 into y = 2x + 4, we get y = 2(3) + 4
- Solving, we get y = 10
### Final Fraction:
- Therefore, the fraction is 3/10.
By following these steps and solving the two linear equations simultaneously, we were able to find the value of the fraction that satisfies both the given conditions.
- Let's first set up the equations based on the given conditions:
1) (x + 2)/y = 1/2
2) x/(y - 1) = 1/3
- Now, let's solve the equations one by one:
### Solving the first equation:
- Cross multiplying, we get 2(x + 2) = y
- Simplifying, we get 2x + 4 = y
- This gives us our first equation: y = 2x + 4
### Solving the second equation:
- Cross multiplying, we get 3x = y - 1
- Substituting the value of y from the first equation, we get 3x = 2x + 4 - 1
- Simplifying, we get x = 3
### Finding the value of y:
- Substituting x = 3 into y = 2x + 4, we get y = 2(3) + 4
- Solving, we get y = 10
### Final Fraction:
- Therefore, the fraction is 3/10.
By following these steps and solving the two linear equations simultaneously, we were able to find the value of the fraction that satisfies both the given conditions.
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If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)?
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If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)?.
If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 is added to the numerator of a fraction it reduces to 1/2 and if 1 is subtracted from the denominator it reduces to 1/3. Find fraction. (chapter-Linear equations in two variables)?.
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