Question

The denominator of a rational number is 4 more than its numerator. If we add 8 to the numerator and subtract 1 from the denominator then the number obtained is 11/6. Find the rational number
please answer correctly​

Answer 1

Answer:

Let the numerator be x

let the denominator= x+4

If we add 8 to the numerator and subtract 1 from the denominator then the number obtained is 11/6.

$\frac{x + 8}{x + 1} = \frac{11}{6}$

we know the denominator is x+4,from the numerator

that is

$\frac{x + 8}{x + 1} = \frac{11}{6} \\ = \frac{x}{x} = \frac{11 - 8}{6 - 1} \\ = \frac{x}{x} = \frac{3}{7} \\ = \frac{3}{7}$

therefore the numerator is 3 and denominator is 7

x=3

x+4=3+4=7

hope it helps