Question 900942
n and n+1 for n any integer.


{{{n/5-(n+1)/9=3}}}, unsure if that is how you meant.
Continuing with that,
{{{45(n/5-(n+1)/9)=45*3}}}
{{{9n-5(n+1)=135}}}
{{{9n-5n-5=135}}}
{{{4n=140}}}
{{{n=140/4=2*7*2*5/(2*2)}}}
{{{highlight(n=35)}}} and the next integer is 36.