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 the fraction​

Answer 1

Answer:

5/12

Step-by-step explanation:

hope it will help you

Answer 2

Solution :

Let us assume that the required fraction is in the form of x / y .

It is mentioned that -

• It becomes 1/3 when 1 is subtracted from the numerator

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

We will use this to form two seperate two variable linear equations and solve them to get the value of x and y .

( x - 1 ) / y = 1/3

=> y = 3x - 3

=> 3x - y = 3 ___(1)

• x/ ( y + 8) = 1/4

=> 4x = y + 8 ___(2)

From (1)

=> y = 3x - 3

From (2)

y = 4x - 8

So,

3x - 3 = 4x - 8

=> x = 5

y = 12 .

Thus, the fraction becomes 5/12.

This is the required answer.

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