Question

The numerator of fraction is 3 less than the denominator. When 2 is added to both numerator and denominator. Find the fraction

Answer 1

See the Attachment to get the answers or View Below.... Both methods are correct

Let the denominator be x

So, Numerator is x-3

We got fraction,

\frac{x}{x-3}

x−3

x

According to question, when 2 is added to numerator and denominator,

Then, we get = (x-1)/(x+2)

So,

=> (x-3)/x +(x-1)/(x+2)= 29/20

=> (x-3)((x+2) +x(x-1)

=> x(x+2)*29/20

⇒ (x²-6-x + x²-x)20= 29x²+58x

⇒ 40x²-120-40x=29x²+58x

⇒ 11x²-98x- 120=0

⇒ 11x² - 110x +12x -120=0

⇒ (11x+12)(x-10)=0

We will have to cancel the negative fraction value of x.

=> X = 10

We have the fraction,

=> (x-3)/x=7/10

Answer 2

Answer:

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