Question

9.
(V) A fraction becomes 9/11, if 2 is added to both the numerator and the denominator
11
Ir. 3 is added to both the numerator and the denominator it becomes 5/6 Find the
fraction​

Answer 1

Answer:

Let the fraction be = $\tt{\frac {x}{y}}$

First equation:

$\frac{x + 2}{y + 2} = \frac{9}{11} \\ \\ = > 11x + 22 = 9y + 18 \\ = > 9y - 11x = 4$

=> 9y = 4 + 11x

=> y = (4 + 11x)/9

Second equation:

$\frac{x + 3}{y + 3} = \frac{5}{6} \\ \\ = > 6x + 18 = 5y + 15 \\ = > 5y - 6x = 3$

=> 5y = 3 + 6x

=> y = (3 + 6x)/5

y = y

=> (4 + 11x)/9 = (3 + 6x)/5

=> 20 + 55x = 27 + 54x

=> x = 7

=> y = (4 + 77)/9 = 9

Fraction :

$\frac{7}{9}$

Answer 2

Answer:

I hope it helps you.....