Question

(2) The denominator of a fraction is 1 more than twice its numerator. If 1 is added to
numerator and denominator respectively, the ratio of numerator to denominator is 1 : 2.
Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator be x and denominator be y.

According to the first condition  

y=2x+1

2x−y=−1  ...............(i)

According to the second condition  

(y+1)

(x+1)

​  

=  

2

1

​  

 

⇒2(x+1)=1(y+1)

⇒2x+2=y+1

⇒2x−y=1−2

⇒2x−y=−1...............(ii)

From (i) and (ii) we have  

There can be infinite values that will satisfy.

One such possible value is x=4 and y=9

∴, the fraction is  

9

4

​