Question 845920
Let {{{ m }}} = mom's age now
Let {{{d }}} = Daughter's age now
{{{ m + 4 }}} = mom's age in 4 years
{{{ d + 4 }}} = daughter's age in 4 years
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(1) {{{ m = 3d }}}
(2) {{{ m + 4 = 2.5*( d + 4 ) }}}
Substitute (1) into (2)
(2) {{{ 3d + 4 = 2.5d + 10 }}}
(2) {{{ .5d = 10 - 4 }}}
(2) {{{ .5d = 6 }}}
(2) {{{ d = 12 }}}
and
(1) {{{ m = 3d }}}
(1) {{{ m = 36 }}}
Mom is 36
Daughter is 12
check:
(2) {{{ m + 4 = 2.5*( d + 4 ) }}}
(2) {{{ 36 + 4 = 2.5*( 12 + 4 ) }}}
(2) {{{ 40 = 2.5*16 }}}
(2) {{{ 40 = 40 }}}
OK