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If 2 is added to the numerator it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the fraction. (chapter- Linear equations in two variables)?
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If 2 is added to the numerator it reduces to 1/2. If 1 is added to the...
Understanding the problem:
To solve this problem, we are given two conditions:
1. If 2 is added to the numerator, the fraction reduces to 1/2.
2. If 1 is added to the denominator, the fraction reduces to 1/3.
Solution:
Step 1: Assign variables
Let the fraction be represented as x/y.
According to the given conditions:
1. (x + 2)/y = 1/2
2. x/(y + 1) = 1/3
Step 2: Solve the equations
Using the first equation, we get:
2(x + 2) = y
2x + 4 = y
y = 2x + 4
Substitute the value of y in the second equation:
x / (2x + 4 + 1) = 1/3
x / (2x + 5) = 1/3
3x = 2x + 5
x = 5
Now, substitute the value of x back into y = 2x + 4:
y = 2(5) + 4
y = 14
Therefore, the fraction is 5/14.
To solve this problem, we are given two conditions:
1. If 2 is added to the numerator, the fraction reduces to 1/2.
2. If 1 is added to the denominator, the fraction reduces to 1/3.
Solution:
Step 1: Assign variables
Let the fraction be represented as x/y.
According to the given conditions:
1. (x + 2)/y = 1/2
2. x/(y + 1) = 1/3
Step 2: Solve the equations
Using the first equation, we get:
2(x + 2) = y
2x + 4 = y
y = 2x + 4
Substitute the value of y in the second equation:
x / (2x + 4 + 1) = 1/3
x / (2x + 5) = 1/3
3x = 2x + 5
x = 5
Now, substitute the value of x back into y = 2x + 4:
y = 2(5) + 4
y = 14
Therefore, the fraction is 5/14.
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If 2 is added to the numerator it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the fraction. (chapter- Linear equations in two variables)?
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If 2 is added to the numerator it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the 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 it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the 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 it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the fraction. (chapter- Linear equations in two variables)?.
If 2 is added to the numerator it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the 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 it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the 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 it reduces to 1/2. If 1 is added to the denominator it reduces to 1/3. find the fraction. (chapter- Linear equations in two variables)?.
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