Q3 of 71 Page 58

A fraction becomes if 3 is added to both the numerator and the denominator. If 5 is added to the numerator and the denominator, it becomes, Find the fraction.

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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