Question

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

Answer 1

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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

hope it will help you

Devil_king ▄︻̷̿┻̿═━一

Answer 2

Answer:

Step-by-step explanation:

Given :-

A fraction becomes 1/3 when 1 is subtracted from the numerator.

It become 1/4 when 8 is added to its denominator.

Solution :-

Let the fraction be x/y    

             

According to the question,                  

⇒ x–1/y = 1/3                  

⇒ 3x – y = 3... (i)                  

⇒ x/y + 8 = 1/4                  

⇒ 4x – y = 8 ... (ii)                  

Subtracting equation (i) from equation (ii), we get                  

⇒ x = 5 ... (iii)                  

Putting this value in equation (i), we get                  

⇒ 15 – y = 3                  

⇒ y = 12                  

Hence, the fraction is 5/12.