Question 760057
Let {{{ a }}} = the larger integer
Let {{{ b }}} = the smaller integer
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(1) {{{ a = 5b + 3 }}}
(2) {{{ a - b = 31 }}}
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Substitute (1) into (2)
(2) {{{ 5b + 3 - b = 31 }}}
(2) {{{ 4b = 28 }}}
(2) {{{ b = 7 }}}
and, since
(2) {{{ a - b = 31 }}}
(2) {{{ a - 7 = 31 }}}
(2) {{{ a = 38 }}}
The numbers are 38 and 7
check:
(1) {{{ a = 5b + 3 }}}
(1) {{{ 38 = 5*7 + 3 }}}
(1) {{{ 38 = 35 + 3 }}}
(1) {{{ 38 = 38 }}}
OK