Question 1118385
Let {{{ a }}} = Jack's age now
Let {{{ b }}} = Lacy's age now
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(1) {{{ a = 2b }}}
(2) {{{ ( a - 8 ) + ( b - 8 ) = 14 }}}
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(2) {{{ a + b - 16 = 14 }}}
(2) {{{ a + b = 30 }}}
Plug (1) into (2)
{2} {{{ 2b + b = 30 }}}
(2) {{{ 3b = 30 }}}
(2) {{{ b = 10 }}}
and
(1) {{{ a = 2b }}}
(1) {{{ a = 2*10 }}}
(1) {{{ a = 20 }}}
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Jack is 20
Lacy is 10 
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check:
(2) {{{ ( a - 8 ) + ( b - 8 ) = 14 }}}
(2) {{{ ( 20 - 8 ) + ( 10 - 8 ) = 14 }}}
(2) {{{ 12 + 2 = 14 }}}
(2) {{{ 14 = 14 }}}
OK