Question 880833
Let the numbers be {{{ a }}} and {{{ b }}}
Let {{{ a }}} be the larger
given:
(1) {{{ a + b = 148 }}}
(2) {{{ a = 3b - 2 }}}
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Substitute (2) into (1)
(1) {{{ 3b - 2 + b = 148 }}}
(1) {{{ 4b = 150 }}}
(1) {{{ b = 37.5 }}}
and
(2) {{{ a = 3b - 2 }}}
(2) {{{ a = 3*37.5 - 2 }}}
(2) {{{ a = 112.5 - 2 }}}
(2) {{{ a = 110.5 }}}
The numbers are 37.5 and 110.5
check:
(1) {{{ a + b = 148 }}}
(1) {{{ 110.5 + 37.5 = 148 }}}
(1) {{{ 148 = 148 }}}
OK