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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.
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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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