Question

The denominator of a rational number is greater than its numerator by 4.
If the numerator and the denominator are increased by 1 each, the rational number becomes 1/2.​

Answer 1

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Let us take x to be the numerator and y to be the denominator. Alright, so y=x+4

Therefore, x/x+4 is the fraction

so x+11/x+4-1 = 7/3 Now Cross Multiply

3(x+11)= 7(x+3) 3x+33= 7x+21

4x=12 x=3 x+4=y= 7

So the original fraction was 3/7 which then became 14/6

Answer 2

Answer:

Explanation:

let the numerator = x

So, denominator=-x+4

Number=  

x+4

x

​

 

According to question,  

 

x+4−1

x+11

​

=  

3

7

​

 

⟹3(x+11)=7(x+3)

⟹4x=12

⟹x=3

Hence, original number =  

7

3

​