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The denominator of a fraction exceeds the numerator by 2.if 5 be added to the numerator the fraction increase by unity. The fraction is?
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The denominator of a fraction exceeds the numerator by 2.if 5 be added...
Given:

Denominator exceeds numerator by 2.

When 5 is added to numerator, the fraction increases by unity.

To find:

The fraction.

Solution:

Let numerator of the fraction be x.

Then, denominator of the fraction will be x+2.

Condition 1:

When 5 is added to numerator, the fraction increases by unity.

So, (x+5)/(x+2) = (x/(x+2)) + 1

On solving, we get x = 3.

Condition 2:

Denominator exceeds numerator by 2.

So, denominator = numerator + 2 = 3 + 2 = 5.

Final Answer:

The fraction is 3/5.

Explanation:

The given fraction can be represented as x/(x+2).

When 5 is added to numerator, the new fraction becomes (x+5)/(x+2).

As per the given condition, this new fraction is equal to the original fraction (x/(x+2)) plus 1.

On solving this equation, we get the value of numerator as 3.

Using this value, we can find the denominator which is 5.

Therefore, the fraction is 3/5.
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The denominator of a fraction exceeds the numerator by 2.if 5 be added...
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The denominator of a fraction exceeds the numerator by 2.if 5 be added to the numerator the fraction increase by unity. The fraction is?
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