Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

The numerator of a fraction is 3 less than denominator. If 2 is added to both numerator as well as denominator, then sum of the new and original fraction is 29/20. Find the fraction.

Let the denominator be x Numerator is x-3 The fraction is (x-3)/x when 2 is added to numerator and denominator we have fraction as (x-1)/(x+2) ATQ (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 Canceling the negative fraction value of x we have x=10 Then the fraction (x-3)/x=7/10