Question 1059396
Let {{{ a }}} = Lucy's age now
Let {{{ b }|}} = Chloe's age now
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(1) {{{ a = 3b - 9 }}}
(2) {{{ a + 5 = 2*( b + 5 ) }}}
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(2) {{{ a + 5 = 2b + 10 }}}
(2) {{{ a - 2b = 5 }}}
and
(1) {{{ -a + 3b = 9 }}}
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Add (1) and (2)
(2) {{{ a - 2b = 5 }}}
(1) {{{ -a + 3b = 9 }}}
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{{{ b = 14 }}}
and
(1) {{{ a = 3b - 9 }}}
(1) {{{ a = 3*14 - 9 }}}
(1) {{{ a = 42 - 9 }}}
(1) {{{ a = 33 }}}
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Chloe is 14
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check:
(2) {{{ a + 5 = 2*( b + 5 ) }}}
(2) {{{ 33 + 5 = 2*( 14 + 5 ) }}}
(2) {{{ 38 = 2*19 }}}
(2) {{{ 38 = 38 }}}
OK
You can check (1)