Question 1056784
The denominator of a fraction is two more than twice the numerator.
{{{n/((2n+2))}}}
 If both numerator and denominator are decreased by eight, the simplified result is 
2/9
:
{{{((n-8))/((2n+2-8))}}} = {{{2/9}}}
{{{((n-8))/((2n-6))}}} = {{{2/9}}}
cross multiply
9(n-8) = 2(2n-6)
9n - 72 = 4n - 12
9n - 4n = 72 - 12
5n = 60
n = 60/5
n = 12 is the numerator
then
2(12)+2 = 26 is the denominator
:
{{{12/26}}} is the original fraction
:
:
Check this by reducing the numerator and denominator by 8
{{{4/18}}} reduces to {{{2/9}}}