A fraction becomes 9/11,if 2is added to both numerator and denominator Of 3 is added both numerator and denominator, - Maths - Quadratic Equations

Question

A fraction becomes 9/11,if 2is added to both numerator and
denominator Of 3 is added both numerator and denominator, its
become 5/6,find the friction

Yash Raj · Accepted Answer

Dear Student

Let the numerator be x and denominator be y
So our fraction becomes xyAccording to question, x+2y+2=911
(i)11(x+2)=9(y+2)11x+22=9y+1811x-9y=-4x=9y-411Also, x+3y+3=566(x+3)=5(y+3)6x+18=5y+156x-5y=-36×(9y-4)11-5y=-36×(9y-4)=11×(5y-3)54y-24=55y-33y=9Putting in (i)x+29+2=911x+2=9x=7Hence our fraction becomes: 79

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A fraction becomes 9/11,if 2is added to both numerator and denominator. Of 3 is added both numerator and denominator, its become 5/6,find the friction.