# A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominater.Find the fraction?

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x-1/y=1/3

3x-3=y

3x-y=3 ---- eq1

x/y+8=1/4

4x=y+8

4x-y=8 ----- eq2

solving 1 and 2

4x-y=8

3x-y=3

- + -

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x = 5

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from eq1 3x-y=3

putting value of x

3*5-y=3

15-y=3

-y=-12

y=12

so the fraction is 5/12