1. A fraction becomes 9/11 , if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 5/6 . What is the fraction ?
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- By: anil on 05 May 2019 01.57 amLet the fraction be $$frac{x}{y}$$ => $$frac{x+2}{y+2} = frac{9}{11}$$ => $$11x + 22 = 9y + 18$$ => $$11x - 9y + 4 = 0$$ Also, $$frac{x+3}{y+3} = frac{5}{6}$$ => $$6x + 18 = 5y + 15$$ => $$6x - 5y + 3 = 0$$ Solving above equations, we get $$x = 7$$ and $$y = 9$$ => Required fraction = $$frac{7}{9}$$
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