# A fraction become

Let the numerator and denominator of the actual fraction be x and y.

Given, fraction becomes if 3 is added to both the numerator and the denominator

5x = 4y – 3

[1]

also, If 5 is added to the numerator and the denominator, it becomes .

6x – 5y = –5 [2]

substituting eq[1] in eq[2]

y = 7

by eq[1] and y = 7

x = 5

original fraction =

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