Question 845923
Let {{{ m }}} = the mom's age now
Let {{{ d }}} = the daughter's age now
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(1){{{ m = 5d }}}
(2){{{ m - 3 = 8*( d - 3 ) }}}
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Substitute (1) into (2)
(2){{{ 5d - 3 = 8*( d - 3 ) }}}
(2){{{ 5d - 3 = 8d - 24 }}}
(2) {{{ 3d = 24 - 3 }}}
(2) {{{ 3d = 21 }}}
(2) {{{ d = 7 }}}
and
(1){{{ m = 5d }}}
(1){{{ m = 5*7 }}}
(1){{{ m = 35 }}}
The mother is 35
The daughter is 7
check:
(2){{{ m - 3 = 8*( d - 3 ) }}}
(2){{{ 35 - 3 = 8*( 7 - 3 ) }}}
(2) {{{ 32 = 8*4 }}}
(2) {{{ 32 = 32 }}}
OK