Question 585595
Let the numbers be {{{a}}} and {{{b}}}
given:
(1) {{{ 1/a + 1/b = 7 }}}
(2) {{{ 1/a - 1/b = 3 }}}
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Just add the equations
{{{ 2*( 1/a ) = 10 }}}
{{{ 2 = 10a }}}
{{{ a = 1/5 }}}
and
(1) {{{ 1/a + 1/b = 7 }}}
(1) {{{ 5 + 1/b = 7 }}}
(1) {{{ 1/b = 2 }}}
(1) {{{ b = 1/2 }}}
The numbers are 1/5 and 1/2