Question 417864
let the numbers be x and y

{{{ x-y = 10}}}

{{{x^2 - y^2 = 800}}}

{{{(x+y)(x-y) = 800}}}

{{{(x+y)10 = 800}}}

{{{(x+y)10/10= 800/10}}}

             {{{ x+y = 80}}}

also given, {{{ x-y = 10}}}


==>  {{{ 2x = 90}}}

==>  {{{ x = 45 }}}

==>  {{{ y = 80-45 = 35}}}