Question

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

Answer 1

Let the fraction be x/y

So from first condition x-1/y=1/3

3x-3=y

3x-y=3 ——————-(1))

From 2nd condition x/y+8=1/4

4x=y+8

4x-y=8 ———————(2)

substracting (1) from (2)

x=5 :;

Substituting value of x in (2)

4*5-y=8

20-y=8

-y=8-20

-y=-12

y=12

So the fraction is 5/12

Thanks!!

Answer 2

Answer:

     

Step-by-step explanation:

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

To Find : The fraction?

Solution :

Let the numerator be x and denominator be y,

The fraction form is

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

i.e.

....(1)

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

i.e.

....(2)

Solving equation (1) and (2),

Substitute y from (1) in (2),

Substitute in (1),

Therefore, The value of x=11 and y=30.

The fraction became,

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