Question 445469
Let the larger number  = {{{a}}}
Let the smaller number = {{{b}}}
given:
(1) {{{ a + b = 55 }}}
(2) {{{ b = a - 5 }}}
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By substitution:
(1) {{{ a + a - 5 = 55 }}}
(1) {{{ 2a - 5 = 55 }}}
(1) {{{ 2a = 60 }}}
(1) {{{ a = 30 }}}
and
(2) {{{ b = a - 5 }}}
(2) {{{ b = 30 - 5 }}}
(2) {{{ b = 25 }}}
The numbers are 25 and 30