Question

The denominator of a rational number is grater than numerator by 7 if the numerator is increasd by 17 and the denominator deceresd by 6 the new number becomes 2 find the orignal number​

Answer 1

The original number is 15/22

Solution:

Let us take the numerator to be x.

So, the denominator will be x+7.

Given condition is

The numerator when increased by 17 = x+17

and the denominator when decreased by 6

Then, this must be equal to 2.

Thus, the numerator = x = 15.

As per the condition, the denominator is greater than its numerator by 7.

And, the denominator = x+7 = 15+7 = 22

So, the fraction is =15/22    

Thus, the original number is the fraction of 15/22

Answer 2

Let the fraction be p/q

So q=p+7

p+17/q-6=2

⇒p+17/p+7−6=2

⇒p+17/p+1=2

⇒p+17=2p+2

⇒p=15

q=15+7=22

So p/q=15/22