Question 178957
let the integers be a and a+2
:
{{{(1/a)+(1/(a+2))=20/99}}}
:
{{{(a+2+a)/a(a+2)=20/99}}}
:
{{{(2a+2)/(a^2+2a)=20/99}}}
:
{{{198a+198=20a^2+40a}}}
:
{{{20a^2-158a-198=0}}}
:
{{{highlight(a=9)}}}-1.1 is thrown out
:
integers are:{{{system(9,11)}}}
:
 *[invoke solve_quadratic_equation 20, -158, -198]