Question

The denominator of a rational number is 1 less than twice the numerator. If 6 is added to both the numerator and the denominator,the number becomes 12/17. Find the rational number

Answer 1

Answer:

6/11

Step-by-step explanation:

let the rational no be x/y

given that

y=2x-1

and x+6/y+6=12/17

put value of y in x/y

$\frac{x}{2x-1}$$=\frac{x}{y}$

$\frac{x+6}{y+6} =\frac{x+6}{2x-1+6}$ $=\frac{12}{17}$

$\frac{x+6}{2x+5} = \frac{12}{17}$

cross multiply

17(x+6) = 12(2x+5)

17x+ 102= 24x + 60

7x= 42

x=6

y=2x-1=2*6-1=11

rational no  is 6/11