Question

the denomination of a number is greater than its numerator by 8.if the numerator is increased by 17 and the denominator is decreased by 1,the number obtained is 3/2.find the rational number?​

Answer 1

Answer:

$\huge\tt\underline\red{answer}$

let the numerator of a rational number be x,then the denominator is x+8

therefore, rational number=

$\frac{ x}{x + 8}$

according to question,

$\frac{x + 17}{x + 8 - 1} = \frac{3}{2}$

$\frac{x + 17}{x + 7} = \frac{3}{2}$

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

=>2x+34=3x+21

=>2x-3x=21=34

=> -x=(-13)

=>x=13

hence,the required rational number

=

$\frac{x}{x + 8} = \frac{13}{13 + 8} = \frac{13}{21}$

so,13/21 is the required rational number

hope you like my answer mate✌✌