Question 698149
(1) {{{ a/b = 1/5 }}}
(2) {{{ a + b = 54 }}}
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(1) {{{ 5a = b }}}
Substitute (1) into (2)
(2) {{{ a + 5a = 54 }}}
(2) {{{ 6a = 54 }}}
(2) {{{ a = 9 }}}
The smaller number is 9
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check:
(1) {{{ b = 5a }}}
(1) {{{ b = 5*9 }}}
(1) {{{ b = 45 }}}
and
(1) {{{ a/b = 1/5 }}}
(1) {{{ 9/45 = 1/5 }}}
(1) {{{ 1/5 = 1/5 }}}
OK