Answer:
Let the numerator of rational number be x and denominator = x + 8 Therefore rational number \[=\frac{x}{x+8}\] According to question, \[\frac{x+17}{(x+8)-1}=\frac{3}{2}\] or, \[\frac{x+17}{x+7}=\frac{3}{2}\] or, \[2(x+17)=3(x+7)\] or, \[2x+34=3x+21\] or \[2x-3x=21-34\] [Transposing 3x to LHS and 34 to RHS] or, \[-x\text{ }=-13~~\] or, x = 13 Hence, the required rational number \[=\frac{13}{13+8}=\frac{13}{21}\]
You need to login to perform this action.
You will be redirected in
3 sec