Question 574308
Call the numbers {{{a}}} and {{{b}}}
given:
{{{ a + b = 22 }}}
{{{ a - b = 12 }}}
Add the equations
{{{ 2a = 34 }}}
{{{ a = 17 }}}
and, since
{{{ a + b = 22 }}}
{{{ 17 + b = 22 }}}
{{{ b = 22 - 17 }}}
{{{ b = 5 }}}
the numbers are 5 and 17