Question

If the numerator of a fraction is decreased by 1, its value becomes 1/3
; and if its denominator
increased by 7, its value becomes 1/4
Find the fraction.

Answer 1

Answer:

Correct option is

A

4

Let the fraction be  

y

x

​

 

As per the given statements,  

y+1

x−1

​

=  

4

1

​

 

⇒4x−4=y+1

⇒4x−y=5 --- (1)

Also,  

y−1

x+1

​

=  

3

2

​

 

⇒3x+3=2y−2

⇒3x−2y=−5 --- (2)

Multi[plying eqn (1) by 2 and subtracting eqn (2), we get

2(4x−y)−(3x−2y)=2(5)−(−5)

⇒5x=15⇒x=3

Substituting this value of x in eqn (1),

4(3)−y=5

⇒y=7

∴x=3;y=7

So, the absolute difference between the numerator and denominator =7−3=4

Step-by-step explanation: