Question

the denominator of a rational number is greater than its numerator by 6 if the numerator is increased by 5 and the denominator is decreased by 3 the nominated obtained is 5/4 find the rational number​

Answer 1

please mark brainliest

Answer 2

Answer:

$\frac{x + 5}{x + 6 - 3} = \frac{5}{4} \\ \\ \frac{x + 5}{x + 3} = \frac{5}{4} \\ \\ then \: we \: cross \: multiply \: so \\ \\ 4x + 20 = 5x + 15 \\ \\ 4x - 5x = 15 - 20 \\ \\ - x = - 5 \\ \\ x = \frac{ - 5}{ - 1} \\ \\ x = 5 \\ \\ now \: putting \: the \: value \: of \: x \\ \\ \frac{5 + 5}{5 + 6 - 3} = \frac{10}{8} = \frac{5}{4}$