Question

the numenator of a rational number is 7 less than a denominator . if the denominator is increased by 9 and the numerator by 2 , we get the same rational number . find the number. ​

Answer 1

Answer:

1. 7-x=9+x
2. $7 - x = 9 + x \\ 7 = 9 + 2x \\ 7 - 9 = 2x \\ - 2 = 2x \\ - 2 \div 2 = x \\x = - 1$

Answer 2

Step-by-step explanation:

let the numerator be =7-x+2

and the denominator be =x+9

7-x+2 = x+9

7-x+x = 9 +2

7-2x = 11

2x = 11-7

x = 4 /2

x = 2