Question

a fraction becomes 8 by 11:00 if 3 is added to both the numerator and denominator has also if 3 is subtracted from the numerator and denominator it becomes 2 / 5 find the fraction​

Answer 1

Answer:

Let the numbers be x and y

(x+3)/(y+3)=8/11

11x+33=8y+24

11x-8y=24-33

11x-8y= -9

Or

8y-11x=9

(x-3)/(y-3)=2/5

5x-15=2y-6

2y-5x= -15+6

2y-5x= -9

11x-8y=-9

2y -5x is also equal to -9

Therefore,

11x-8y=2y-5x

11x+5x=2y+8y

16x=10y

x/y=10/16

=5/8

Hope it is clear...

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