Question

The sum of the numerator and denominator of a fraction is 11.If 2 is added to both numerator and denominator of the fraction,it becomes 1/2 .Find the fraction

Answer 1

Step-by-step explanation:

Let the numerator = x

denominator = y

According to question,

x + 1 / y + 1 = 2 / 3

3x + 3 = 2y + 2

3x - 2y = -1 ----------------1

x - 1 / y - 1 = 3 / 5

5x - 5 = 3y - 3

5x - 3y =2 ------------------2

We get 2 question , Now by Elimination Method ,

3x - 2y = -1 × 5

5x - 3y = 2 × 3

15x - 10y = -5

15x - 9y = 6

- + -

__________

-y = -11

y = 11

Now put the value of in equation 1

3x - 2(11) = - 1

3x - 22 = -1

3x = 21

x = 7

So that the value of x is and y is 11.

We know numerator = x and denominator = y

Numerator / Denominator = 7 / 11

So that the fraction is 7 / 11