Question 1079096
Let {{{ a }}} = Leah's age now
Let {{{ b }}} = Rachel's age now
------------------------------
(1) {{{ a = 3b - 2 }}}
(2) {{{ a + 3 = 2*( b + 3 ) + 7 }}}
------------------------------
(2) {{{ a + 3 = 2b + 6 + 7 }}}
(2) {{{ a = 2b + 10 }}}
Substitue (1) into (2)
(2) {{{ 3b - 2 = 2b + 10 }}}
(2) {{{ b = 12 }}}
and
(1) {{{ a = 3b - 2 }}}
(1) {{{ a = 3*12 - 2 }}}
(1) {{{ a = 36 - 2 }}}
(1) {{{ a = 34 }}}
----------------------
Leah is 34
Rachel is 12 
---------------
check:
(2) {{{ a + 3 = 2*( b + 3 ) + 7 }}}
(2) {{{ 34 + 3 = 2*( 12 + 3 ) + 7 }}}
(2) {{{ 37 = 2*15 + 7 }}}
(2 {{{ 37 = 37 }}}
Ok
(1) {{{ a = 3b - 2 }}}
(1) {{{ 34 = 3*12 - 2 }}}
(1) {{{ 34 = 36 - 2 }}}
(1) {{{ 34 = 34 }}}
OK