Question

the denominator of a number is greater than its numrator by 8 . if the numarator is increased by 17 and the denominator is decreased by 1 the number obtained is 3/2 find the ratinal number​

Answer 1

AnSwer -:



The rational number is 13/21

______________________________

_____________________________


Let the numerator be x


Then ,


According to the question,


The denominator will be greater than it’s


numerator by 8


Then,


The denominator is -:x + 8.


The rational will be x / x +8



According to the given cndition,


x + 17/x + 8 – 1 = 3/2

=x + 17/x + 7 = 3/2

=2(x + 17) = 3(x + 7)

=2x + 34 = 3x + 21

=34 − 21 = 3x − 2x

X = 13


Then ,


The numerator is x = 13


The denominator is = x +8 =

= 13 + 8

= 21


Therefore,

The rational number is 13/21



______________________________