Question 1142654
Let {{{ a }}} = Nicole's age now
Let {{{ b }}} = Kristen's age now
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(1) {{{ a + b = 32 }}}
(2) {{{ a + 2 = 3*( b + 2 ) }}}
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(2) {{{ a + 2 = 3b + 6 }}}
(2) {{{ a - 3b = 4 }}}
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Subtract (2) from (1)
(1) {{{ a + b = 32 }}}
(2) {{{ -a + 3b = -4 }}}
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{{{ 4b = 28 }}}
{{{ b = 7 }}}
and
(1) {{{ a + 7 = 32 }}}
(1) {{{ a = 25 }}}
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Nicole is 25
Kristen is 7
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check:
(2) {{{ a + 2 = 3*( b + 2 ) }}}
(2) {{{ 25 + 2 = 3*( 7 + 2 ) }}}
(2) {{{ 27 = 3*9 }}}
(2) {{{ 27 = 27 }}}
OK