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Q.

If on adding 1 to both the numerator and denominator of a certain fraction, it becomes and on adding 3, to both the numerator and the denominator it becomes , then the fraction is ____

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Detailed Solution

Concept- The fraction is

. To solve this question, let us assume a fraction

having “N” as numerator and “D” as denominator. Then, we will apply the conditions provided in the question statement and form two different linear equations of 2 variables. Solving these equations, we will obtain our numerator and denominator.
Our assumed fraction is

,
Given, on adding 1 to both the numerator and denominator, it becomes

, i.e.,

Question Image

Also, given that, on adding 3 to both the numerator and the denominator, the fraction becomes

, i.e.,

Question Image

Now comparing (i) and (ii) , we get,
Question Image

Question Image

Hence, the correct answer is

.

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