Question

A fraction becomes 9/11, if 2 added to the both numerator and denominator, if 3, is added to both numerator and denominator it becomes 5/6 find the fraction? ​

Answer 1

Answer:

Fraction  = 7/9

Step-by-step explanation:

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Let the fraction be x/y, numerator = x, denominator = y

According to question

x+2/y+2 = 9/11

= 11 (x+2) = 9 (y+2)

= 11x + 22 = 9y + 18

= 11x - 9y = -4

Now,

x+3 / y+3 = 5/6

= 6 (x+3) = 5 (y+3)

= 6x + 18 = 5y + 15

= 6x - 5y = -3

Using elimination method

   55x - 45y = -20

--  54x - 45y = -27

   ------------------------

after solving this, we get x = 7

putting value of x in any of this equations, we get y = 9

Fraction = 7/9