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The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity?
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The denominator of a fraction exceeds the numerator by 2 if 5 be addde...
Understanding the problem:
The problem states that the denominator of a fraction exceeds the numerator by 2. When 5 is added to the numerator, the fraction increases by unity. We need to find the original fraction.
Let's assume:
Let the numerator of the fraction be x.
Then, the denominator will be x + 2.
Formulating the equation:
According to the problem,
Original fraction = x / (x + 2)
New fraction = (x + 5) / (x + 2)
Given that the new fraction increases by unity:
(x + 5) / (x + 2) = x / (x + 2) + 1
Solving the equation:
(x + 5) = x + (x + 2)
x + 5 = 2x + 2
x = 3
Finding the original fraction:
Original fraction = 3 / (3 + 2)
Original fraction = 3 / 5
Therefore, the original fraction is 3/5.
The problem states that the denominator of a fraction exceeds the numerator by 2. When 5 is added to the numerator, the fraction increases by unity. We need to find the original fraction.
Let's assume:
Let the numerator of the fraction be x.
Then, the denominator will be x + 2.
Formulating the equation:
According to the problem,
Original fraction = x / (x + 2)
New fraction = (x + 5) / (x + 2)
Given that the new fraction increases by unity:
(x + 5) / (x + 2) = x / (x + 2) + 1
Solving the equation:
(x + 5) = x + (x + 2)
x + 5 = 2x + 2
x = 3
Finding the original fraction:
Original fraction = 3 / (3 + 2)
Original fraction = 3 / 5
Therefore, the original fraction is 3/5.
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The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity?
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The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity?.
The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a fraction exceeds the numerator by 2 if 5 be addded to the numerator the fraction increase by unity?.
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