Question 459212
Let the parts = {{{a}}} and {{{b}}}, 
with {{{a}}} being larger
given:
(1) {{{ a + b = 32 }}}
(2) {{{ a/b = 2 + 5/b }}}
Multiply both sides by {{{b}}}
(2) {{{ a = 2b + 5 }}}
Substitute (1) into (2)
(2) {{{ 32 - b = 2b + 5 }}}
(2) {{{ 3b = 32 - 5 }}}
(2) {{{ 3b = 27 }}}
(2) {{{ b = 9 }}}
and
(1) {{{ a + b = 32 }}}
(1) {{{ a + 9 = 32 }}}
(1) {{{ a = 23 }}}
check answers:
(2) {{{ a/b = 2 + 5/b }}}
(2) {{{ 23/9 = 2 + 5/9 }}}
(2) {{{ 23 = 18 + 5 }}}
(2) {{{ 23 = 23 }}}
OK