Question

a. The denominator of a rational number is greater than the numerator by 6. If the
numerator is decreased by 2 and the denominator is increased by 4, the new
rational number obtained is 1/5
Find the original number​

Answer 1

Answer:

original number=

$\frac{5}{11}$

Step-by-step explanation:

Let the numerator be =x

Then denominator will be =x+6

$\frac{x }{ x + 6}$

On increasing the denominator and decreasing the numerator:=

$\frac{x - 2}{x + 10} = \frac{1}{5} (as \: shown \: in \:question$

On solving,

x=5

Therefore numerator =5

and denominator=5+6=11