Question 1143888
Let {{{ m }}} = Jay's age now
Let {{{ p }}} = Fred's age now
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(1) {{{ m - 5 = (1/2)*( p - 5 ) + 7 }}}
(2) {{{ m*p = 696 }}}
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(1) {{{ 2*( m - 5 ) = p - 5 + 14 }}}
(1) {{{ 2m - 10 = p + 9 }}}
(1) {{{ p = 2m - 19 }}}
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(2) {{{ m*( 2m - 19 ) = 696 }}}
(2) {{{ 2m^2 - 19m - 696  = 0 }}}
{{{ m = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}
{{{ a = 2 }}}
{{{ b = -19 }}}
{{{ c = -696 }}}
{{{ m = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}
{{{ m = (-(-19) +- sqrt( (-19)^2-4*2*(-696) ))/(2*2) }}
{{{ m = ( 19 +- sqrt( 361 + 5568 ))/ 4 }}
{{{ m = ( 19 + sqrt( 5929 ) )/4 }}}
{{{ m = ( 19 + 77 ) /4 }}}
{{{ m = 96/4 }}}
{{{ m = 24 }}}
and
(1) {{{ p = 2m - 19 }}}
(1) {{{ p = 2*24 - 19 }}}
(1) {{{ p = 48 - 19 }}}
(1) {{{ p = 29 }}}
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Jay is 24
Fred is 29
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check:
(2) {{{ m*p = 696 }}}
(2) {{{ 24*29 = 696 }}}
(2) {{{ 696 = 696 }}}
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You can check (1)