Question

23. The numerator of a fraction is 3 less than the denominator. If 1 is added to both its numerator and
denominator, it becomes 1\2Find the fraction.​

Answer 1

Answer:

the numerator will be 2

and the denominator will be  5

Step-by-step explanation:

numerator x-3

denominator x

x-3/x

x-3+1/x+1 = 1/2

x=5

Answer 2

Answer:

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf \dfrac{Numerator-9}{Denominator+1}=\dfrac{7}{2}\\\\\\:\implies\sf \dfrac{n-9}{(n - 5)+1}=\dfrac{7}{2}\\\\\\:\implies\sf \dfrac{n-9}{n - 4}=\dfrac{7}{2}\\\\\\:\implies\sf 2(n - 9) = 7(n - 4)\\\\\\:\implies\sf 2n - 18 = 7n - 28\\\\\\:\implies\sf 28 - 18 = 7n - 2n\\\\\\:\implies\sf 10 = 5n\\\\\\:\implies\sf \dfrac{10}{5} = n\\\\\\:\implies\sf n = 2$

⠀

$\dag\:\underline{\boxed{\sf Original\:Fraction=\dfrac{n}{n-5} = \dfrac{2}{ - \:3} = \dfrac{ - \:2}{3} }}$