Question 1121464
Let {{{ a }}} = original amount Bob had
Let {{{ b }}} = original amount Dave had
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(1) {{{ a - 8 = b + 8 }}}
(2) {{{ ( a + 14 ) / b = 5/2 }}}
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(2) {{{ 2*( a + 14 ) = 5b }}}
(2) {{{ 2a + 28 = 5b }}}
(2) {{{ -2a + 5b = 28 }}}
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(1) {{{ a - b = 16 }}}
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(1) {{{ 5a - 5b = 80 }}}
(2) {{{ -2a + 5b = 28 }}}
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{{{ 3a = 108 }}}
{{{ a = 36 }}}
And
(1) {{{ 36 - b = 16 }}}
(1) {{{ b = 20 }}}
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Bob had 36 dollars at first
check:
(2) {{{ ( a+14)/b = 5/2 }}}
(2) {{{ 50/20 = 5/2 }}}
OK
You can check (1)