Question 1125348
Let {{{ a }}} = Bryce’s age now
Let {{{ b }}} = Sonya’s age now
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(1) {{{ a + b = 72 }}}
(2) {{{ a - 6 = 3*( b - 6 ) }}}
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(2) {{{ a - 6 = 3b - 18 }}}
(2) {{{ a - 3b = -12 }}}
Subtract (2) from (1)
(1) {{{ a + b = 72 }}}
(2) {{{ -a + 3b = 12 }}}
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{{{ 4b = 84 }}}
{{{ b = 21 }}}
And
(1) {{{ a + 21 = 72 }}}
(1) {{{ a = 51 }}}
Bryce is 51 now
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Check:
(2) {{{ a- 6 = 3*( b - 6 ) }}}
(2) {{{ 51 - 6 = 3*( 21 - 6 ) }}}
(2) {{{ 45 = 3*15 }}}
(2) {{{ 45 = 45 }}}
OK