Q4 of 80 Page 56

The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes . Find the fraction.

Let the denominator of the fraction be x.

The numerator is 4 less than the denominator.


∴ The numerator = x – 4.


According to the given condition,



⇒


⇒ (Multiplying by x + 1 on both sides)


⇒


⇒ (Multiplying by 2 on both sides)


2x – 6 = x + 1


⇒ 2x – x = 1 + 6 (Transposing x to LHS and 6 to RHS)


x = 7


The numerator of the fraction = x – 4 = 7 – 4 = 3


The denominator of the fraction = x = 7


∴ The fraction is .


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