Question

the nominator of a rational number is greater than its numerator by 7 .if 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 1 / 5 .
find the rational number ​

Answer 1

Step-by-step explanation:

Let the numerator and the denominator of the required rational number be x and y respectively.

Then, y = x+7 - - - - - (i)

and, x-3/y+2=1/5

Putting y= x+7 from equation (i), we get

x-3/x+9=1/5

or, (x-3)5=x+9 [Cross Multiplication]

or, 5x-15=x+9

or, 4x=24

or, x=6

Putting x=6 in equation (i), we get

y=6+7=13

Hence, the required rational number is 6/13.