Question 1069208
Let {{{ a }}} = Kyle's age now
Let {{{ b }}} = Claire's age now
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(1) {{{ a = b - 2 }}}
(2) {{{ b - 12 = 2*( a - 12 ) }}}
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(2) {{{ b - 12 = 2a - 24 }}}
(2) {{{ 2a - b = 12 }}}
and
(1) {{{ -a + b = 2 }}}
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Add the equations
(2) {{{ 2a - b = 12 }}}
(1) {{{ -a + b = 2 }}}
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{{{ a = 14 }}}
and
(1) {{{ a = b - 2 }}}
(1) {{{ 14 = b - 2 }}}
(1) {{{ b = 16 }}}
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14 =  Kyle's age now
16 = Claire's age now
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check:
(2) {{{ b - 12 = 2*( a - 12 ) }}}
(2) {{{ 16 - 12 = 2*( 14 - 12 ) }}}
(2) {{{ 4 = 2*2 }}}
(2) {{{ 4 = 4 }}}
OK