Question 1087117
Let {{{ c }}} = Celia's age now 
Let {{{ j }}} = Jacque's age now
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(1) {{{ c = 2j }}}
(2) {{{ c - 9 = 6*( j - 9 ) }}}
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(2) {{{ c - 9 = 6j - 54 }}}
(2) {{{ 6j - c = 45 }}}
Plug (1) into (2)
(2) {{{ 6j - 2j = 45 }}}
(2) {{{ 4j = 45 }}}
(2) {{{ j = 11.25 }}}
and
(1) {{{ c = 2j }}}
(1) {{{ c = 2*11.25 }}}
(1) {{{ c = 22.5 }}}
Jacque is 11 and 3 months
Celia is 22 and 6 months
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check:
(2) {{{ c - 9 = 6*( j - 9 ) }}}
(2) {{{ 22.5 - 9 = 6*( 11.25 - 9 ) }}}
(2) {{{ 13.5 = 6*2.25 }}}
(2) {{{ 13.5 = 13.5 }}}