Question

If a certain number is added both to the numerator and denominator of 9 /17 the new fraction reduces to 5 /7.find the number

Answer 1

Answer:

The number=11

Step-by-step explanation:

Lets suppose that the number is x. So,

9+x/17+x=5/7

Cross multiply. Then,

7x+63=5x+85

7x-5x=85-63

2x=22

x=22/2

x=11.

Check=9+11/17+11

         =20/28

Divide by 2.

         =10/14

         =5/7.

Answer 2

Answer:

The required number is 11.

Step-by-step explanation:

Given : If a certain number is added both to the numerator and denominator of $\frac{9}{17}$ the new fraction reduces to $\frac{5}{7}$.

To find : The number ?

Solution :

Let the number 'x'.

According to question,

$\frac{9+x}{17+x}=\frac{5}{7}$

Cross multiply,

$7(9+x)=5(17+x)$

$63+7x=85+5x$

$7x-5x=85-63$

$2x=22$

$x=\frac{22}{2}$

$x=11$

Therefore, The required number is 11.