Question

A fraction becomes 8 / 9 when 1 is added to each of the numerator and denominator. However if we subtract 5 from each of them it becomes 5 / 6 then numerator of a fraction is
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Answer 1

Answer:

Step-by-step explanation:

Let the numerator be x and denominator be y

(x+1)/(y+1)  = 8/9

9x+9 =  8y+8

9x-8y = -1   ............(1)eq

(x-5)/(y-5) = 5/6

6x-30 =  5y-25

6x-5y = 5 ................(2)eq

multiply (1)eq from 5 and (2)eq from 8

45x-40y = -5   .......(3)eq

48x- 40 y = 40 .........(4)eq

subtract eq 3 from eq 4

3x = 45

x = 15

6x-5y = 5

90 - 5y = 5

-5y = -85

y =17

fraction is = 15/17