Question

19. The sum of the numerator and denominator of a fraction is 8. If 3 is added to both of the numerator and the denominator, the fraction 3 becomes Find the fraction. [CBSE 2003] n​

Answer 1

Answer:

Step-by-step explanation:

Hi there,

Let the numerator be x and denominator be y.

So,

We have x + y = 8

AND,

$\frac{x+3}{y+3}=3\\=> x+3 = 3(y+3)\\=> x+3 = 3y+9\\=> x-3y = 6$

So we have

x + y = 8

x - 3y = 6

So by elimination we would have,

x + y = 8

(x - 3y = 6) * -1

x + y = 8

-x + 3y = -6

4y = 2

y = 1/2

So,

x + 1/2 = 8

x = 15/2

So the fraction is,

15/1

Hope this helps you.

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