Question

a If 2 is added to the numerator of a fraction and 1 is subtracted from its denominator, the fraction becomes 4. If 1 is added to the denominator of the fraction, the 5 fraction becomes. Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator be x and the denominator be y.

From the given information, we have,

y

x+2

​

=

2

1

​

and

y−1

x

​

=

3

1

​

or,

y

x+2

​

=

2

1

​

=>2(x+2)=y

=>y=2x+4....(i)

Also,

y−1

x

​

=

3

1

​

=>3x=y−1....(ii)

Using substitution method,

Substituting equation (i) in equation (ii), we get,

3x=2x+4−1

=>x=3

Substituting x=3 in equation (i), we get,

y=2x+4

=>y=2(3)+4

=>y=6+4

=>y=10

Thus, the original fraction is  

y

x

​

=

10

3

​