Question 1124727
Let the numbers be a and b
(1) {{{ a + b = 2490 }}}
(2) {{{ .065a = .085b }}}
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(2) {{{ 65a = 85b }}}
(2) {{{ b = (13/17)*a }}}
Plug this into (1)
(1) {{{ a + (13/17)*a = 2490 }}}
(1) {{{ 17a + 13a = 42330 }}}
(1) {{{ 30a = 42330 }}}
(1) {{{ a = 1411 }}}
And
(1) {{{ 1411 + b = 2490 }}}
(1) {{{ b = 1079 }}}
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Check:
(2) {{{ .065*1411 = .085*1079 }}}
(2) {{{ 91.715 = 91.715 }}}
OK