Question

. 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. find the fraction.

Answer 1

(n + 2)/(d + 2) = 9/11

(n + 3)/(d + 3) = 5/6

11(n + 2) = 9(d + 2)

11n + 22 = 9d + 18

9d - 11n = 4

6(n + 3) = 5(d + 3)

6n + 18 = 5d + 15

5d - 6n = 3

9d - 11n = 4---->45d - 55n = 20

5d - 6n = 3---->45d - 54n = 27

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n = 7

5d - 6(7) = 3

5d - 42 = 3

5d = 45

d = 9

The fraction is 7/9.