Question 792364
Let {{{ m }}} = Matt's age now
Let {{{ s }}} = Sarah's age now
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(1) {{{ m = s - 51 }}}
(2) {{{ s - 6 = 4*( m -6 ) }}}
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(1) {{{ s = m + 51 }}}
Substitute (1) into (2)
(2) {{{ m + 51 - 6 = 4*( m - 6 ) }}}
(2) {{{ m + 45 = 4m - 24 }}}
(2) {{{ 3m = 69 }}}
(2) {{{ m = 23 }}}
and
(1) {{{ s = m + 51 }}}
(1) {{{ s = 23 + 51 }}}
(1) {{{ s = 74 }}}
Matt is 23 now
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check:
(2) {{{ s - 6 = 4*( m -6 ) }}}
(2) {{{ 74 - 6 = 4*( 23 -6 ) }}}
(2) {{{ 68 = 4*17 }}}
(2) {{{ 68 = 68 }}}
OK