Question

the numerator of a fraction is 2 less than its denominator if 1 is added to both it's numerator and denominator it becomes 2/3. find the fraction​

Answer 1

Step-by-step explanation:

Let the denominator be x

The numerator is x-2

If 1 is added to both the no. becomes 2/3

By condition,

x-2+1/x+1 = 2/3

x-1/x+1 = 2/3

3(x-1) = 2(x+1)

3x-3 = 2x+2

3x-2x = 2+3

x = 5

Numerator = 5-2 =3

Denominator = 5

So the fraction

= Numerator/Denominator

= 3/5

Answer 2

Answer:

3/5

Step-by-step explanation:

Let the numerator be x and the denominator be y

given that x = y - 2

So the fraction is y - 2/y

It is also given that (x + 1)/(y + 1) = 2/3

(y - 2 + 1)/ (y + 1) = 2/3

(y - 1)/(y + 1) = 2/3

3y - 3 = 2y + 2

3y - 2y = 2 + 3

y = 5

Substitute the value of y in eq. 1

y - 2/y

=5-2/5

=3/5