Question

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator find fraction​

Answer 1

Let the numerator = x

Let the denominator = y

Now, 

fraction becomes = x/y

According to the first condition,     

(x − 1)/y = 1/3

⇒y = 3x − 3    ......(1)

According to the second condition,   

 x/(y + 8) = 1/4

⇒y + 8 = 4x

⇒y = 4x − 8     .........(2)

from (1) and (2),    

 3x − 3 = 4x − 8

⇒3x − 4x = −8 + 3

−x = −5

⇒x = 5

from (1), we get

y = 15 − 3 = 12

So, the required fraction = 5/12

Answer 2

Answer:

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